diff --git a/doc/manual/meson.build b/doc/manual/meson.build
index c251fadb1..f7d3f44c5 100644
--- a/doc/manual/meson.build
+++ b/doc/manual/meson.build
@@ -250,7 +250,6 @@ nix3_manpages = [
   'nix3-print-dev-env',
   'nix3-profile-diff-closures',
   'nix3-profile-history',
-  'nix3-profile-install',
   'nix3-profile-list',
   'nix3-profile',
   'nix3-profile-remove',
@@ -283,7 +282,6 @@ nix3_manpages = [
   'nix3-store',
   'nix3-store-optimise',
   'nix3-store-path-from-hash-part',
-  'nix3-store-ping',
   'nix3-store-prefetch-file',
   'nix3-store-repair',
   'nix3-store-sign',
diff --git a/src/libcmd/installables.cc b/src/libcmd/installables.cc
index 2fde59e8b..e4a1d0a42 100644
--- a/src/libcmd/installables.cc
+++ b/src/libcmd/installables.cc
@@ -844,7 +844,7 @@ RawInstallablesCommand::RawInstallablesCommand()
 void RawInstallablesCommand::applyDefaultInstallables(std::vector<std::string> & rawInstallables)
 {
     if (rawInstallables.empty()) {
-        // FIXME: commands like "nix profile install" should not have a
+        // FIXME: commands like "nix profile add" should not have a
         // default, probably.
         rawInstallables.push_back(".");
     }
diff --git a/src/libutil/args.cc b/src/libutil/args.cc
index 39d66b3ec..0541291ad 100644
--- a/src/libutil/args.cc
+++ b/src/libutil/args.cc
@@ -647,4 +647,25 @@ nlohmann::json MultiCommand::toJSON()
     return res;
 }
 
+Strings::iterator MultiCommand::rewriteArgs(Strings & args, Strings::iterator pos)
+{
+    if (command)
+        return command->second->rewriteArgs(args, pos);
+
+    if (aliasUsed || pos == args.end()) return pos;
+    auto arg = *pos;
+    auto i = aliases.find(arg);
+    if (i == aliases.end()) return pos;
+    auto & info = i->second;
+    if (info.status == AliasStatus::Deprecated) {
+        warn("'%s' is a deprecated alias for '%s'",
+            arg, concatStringsSep(" ", info.replacement));
+    }
+    pos = args.erase(pos);
+    for (auto j = info.replacement.rbegin(); j != info.replacement.rend(); ++j)
+        pos = args.insert(pos, *j);
+    aliasUsed = true;
+    return pos;
+}
+
 }
diff --git a/src/libutil/include/nix/util/args.hh b/src/libutil/include/nix/util/args.hh
index 77c4fb5b6..463270374 100644
--- a/src/libutil/include/nix/util/args.hh
+++ b/src/libutil/include/nix/util/args.hh
@@ -393,8 +393,30 @@ public:
 
     nlohmann::json toJSON() override;
 
+    enum struct AliasStatus {
+        /** Aliases that don't go away */
+        AcceptedShorthand,
+        /** Aliases that will go away */
+        Deprecated,
+    };
+
+    /** An alias, except for the original syntax, which is in the map key. */
+    struct AliasInfo {
+        AliasStatus status;
+        std::vector<std::string> replacement;
+    };
+
+    /**
+     * A list of aliases (remapping a deprecated/shorthand subcommand
+     * to something else).
+     */
+    std::map<std::string, AliasInfo> aliases;
+
+    Strings::iterator rewriteArgs(Strings & args, Strings::iterator pos) override;
+
 protected:
     std::string commandName = "";
+    bool aliasUsed = false;
 };
 
 Strings argvToStrings(int argc, char * * argv);
diff --git a/src/nix/main.cc b/src/nix/main.cc
index 580be0992..098d461a3 100644
--- a/src/nix/main.cc
+++ b/src/nix/main.cc
@@ -51,19 +51,6 @@ void chrootHelper(int argc, char * * argv);
 
 namespace nix {
 
-enum struct AliasStatus {
-    /** Aliases that don't go away */
-    AcceptedShorthand,
-    /** Aliases that will go away */
-    Deprecated,
-};
-
-/** An alias, except for the original syntax, which is in the map key. */
-struct AliasInfo {
-    AliasStatus status;
-    std::vector<std::string> replacement;
-};
-
 /* Check if we have a non-loopback/link-local network interface. */
 static bool haveInternet()
 {
@@ -151,54 +138,34 @@ struct NixArgs : virtual MultiCommand, virtual MixCommonArgs, virtual RootArgs
             .category = miscCategory,
             .handler = {[&]() { refresh = true; }},
         });
-    }
 
-    std::map<std::string, AliasInfo> aliases = {
-        {"add-to-store", { AliasStatus::Deprecated, {"store", "add-path"}}},
-        {"cat-nar", { AliasStatus::Deprecated, {"nar", "cat"}}},
-        {"cat-store", { AliasStatus::Deprecated, {"store", "cat"}}},
-        {"copy-sigs", { AliasStatus::Deprecated, {"store", "copy-sigs"}}},
-        {"dev-shell", { AliasStatus::Deprecated, {"develop"}}},
-        {"diff-closures", { AliasStatus::Deprecated, {"store", "diff-closures"}}},
-        {"dump-path", { AliasStatus::Deprecated, {"store", "dump-path"}}},
-        {"hash-file", { AliasStatus::Deprecated, {"hash", "file"}}},
-        {"hash-path", { AliasStatus::Deprecated, {"hash", "path"}}},
-        {"ls-nar", { AliasStatus::Deprecated, {"nar", "ls"}}},
-        {"ls-store", { AliasStatus::Deprecated, {"store", "ls"}}},
-        {"make-content-addressable", { AliasStatus::Deprecated, {"store", "make-content-addressed"}}},
-        {"optimise-store", { AliasStatus::Deprecated, {"store", "optimise"}}},
-        {"ping-store", { AliasStatus::Deprecated, {"store", "info"}}},
-        {"sign-paths", { AliasStatus::Deprecated, {"store", "sign"}}},
-        {"shell", { AliasStatus::AcceptedShorthand, {"env", "shell"}}},
-        {"show-derivation", { AliasStatus::Deprecated, {"derivation", "show"}}},
-        {"show-config", { AliasStatus::Deprecated, {"config", "show"}}},
-        {"to-base16", { AliasStatus::Deprecated, {"hash", "to-base16"}}},
-        {"to-base32", { AliasStatus::Deprecated, {"hash", "to-base32"}}},
-        {"to-base64", { AliasStatus::Deprecated, {"hash", "to-base64"}}},
-        {"verify", { AliasStatus::Deprecated, {"store", "verify"}}},
-        {"doctor", { AliasStatus::Deprecated, {"config", "check"}}},
+        aliases = {
+            {"add-to-store", { AliasStatus::Deprecated, {"store", "add-path"}}},
+            {"cat-nar", { AliasStatus::Deprecated, {"nar", "cat"}}},
+            {"cat-store", { AliasStatus::Deprecated, {"store", "cat"}}},
+            {"copy-sigs", { AliasStatus::Deprecated, {"store", "copy-sigs"}}},
+            {"dev-shell", { AliasStatus::Deprecated, {"develop"}}},
+            {"diff-closures", { AliasStatus::Deprecated, {"store", "diff-closures"}}},
+            {"dump-path", { AliasStatus::Deprecated, {"store", "dump-path"}}},
+            {"hash-file", { AliasStatus::Deprecated, {"hash", "file"}}},
+            {"hash-path", { AliasStatus::Deprecated, {"hash", "path"}}},
+            {"ls-nar", { AliasStatus::Deprecated, {"nar", "ls"}}},
+            {"ls-store", { AliasStatus::Deprecated, {"store", "ls"}}},
+            {"make-content-addressable", { AliasStatus::Deprecated, {"store", "make-content-addressed"}}},
+            {"optimise-store", { AliasStatus::Deprecated, {"store", "optimise"}}},
+            {"ping-store", { AliasStatus::Deprecated, {"store", "info"}}},
+            {"sign-paths", { AliasStatus::Deprecated, {"store", "sign"}}},
+            {"shell", { AliasStatus::AcceptedShorthand, {"env", "shell"}}},
+            {"show-derivation", { AliasStatus::Deprecated, {"derivation", "show"}}},
+            {"show-config", { AliasStatus::Deprecated, {"config", "show"}}},
+            {"to-base16", { AliasStatus::Deprecated, {"hash", "to-base16"}}},
+            {"to-base32", { AliasStatus::Deprecated, {"hash", "to-base32"}}},
+            {"to-base64", { AliasStatus::Deprecated, {"hash", "to-base64"}}},
+            {"verify", { AliasStatus::Deprecated, {"store", "verify"}}},
+            {"doctor", { AliasStatus::Deprecated, {"config", "check"}}},
+        };
     };
 
-    bool aliasUsed = false;
-
-    Strings::iterator rewriteArgs(Strings & args, Strings::iterator pos) override
-    {
-        if (aliasUsed || command || pos == args.end()) return pos;
-        auto arg = *pos;
-        auto i = aliases.find(arg);
-        if (i == aliases.end()) return pos;
-        auto & info = i->second;
-        if (info.status == AliasStatus::Deprecated) {
-            warn("'%s' is a deprecated alias for '%s'",
-                arg, concatStringsSep(" ", info.replacement));
-        }
-        pos = args.erase(pos);
-        for (auto j = info.replacement.rbegin(); j != info.replacement.rend(); ++j)
-            pos = args.insert(pos, *j);
-        aliasUsed = true;
-        return pos;
-    }
-
     std::string description() override
     {
         return "a tool for reproducible and declarative configuration management";
diff --git a/src/nix/profile-add.md b/src/nix/profile-add.md
new file mode 100644
index 000000000..0bb65d8e6
--- /dev/null
+++ b/src/nix/profile-add.md
@@ -0,0 +1,37 @@
+R""(
+
+# Examples
+
+- Add a package from Nixpkgs:
+
+  ```console
+  # nix profile add nixpkgs#hello
+  ```
+
+- Add a package from a specific branch of Nixpkgs:
+
+  ```console
+  # nix profile add nixpkgs/release-20.09#hello
+  ```
+
+- Add a package from a specific revision of Nixpkgs:
+
+  ```console
+  # nix profile add nixpkgs/d73407e8e6002646acfdef0e39ace088bacc83da#hello
+  ```
+
+- Add a specific output of a package:
+
+  ```console
+  # nix profile add nixpkgs#bash^man
+  ```
+
+# Description
+
+This command adds [_installables_](./nix.md#installables) to a Nix profile.
+
+> **Note**
+>
+> `nix profile install` is an alias for `nix profile add` in Determinate Nix.
+
+)""
diff --git a/src/nix/profile-install.md b/src/nix/profile-install.md
deleted file mode 100644
index 4c0f82c09..000000000
--- a/src/nix/profile-install.md
+++ /dev/null
@@ -1,34 +0,0 @@
-R""(
-
-# Examples
-
-* Install a package from Nixpkgs:
-
-  ```console
-  # nix profile install nixpkgs#hello
-  ```
-
-* Install a package from a specific branch of Nixpkgs:
-
-  ```console
-  # nix profile install nixpkgs/release-20.09#hello
-  ```
-
-* Install a package from a specific revision of Nixpkgs:
-
-  ```console
-  # nix profile install nixpkgs/d73407e8e6002646acfdef0e39ace088bacc83da#hello
-  ```
-
-* Install a specific output of a package:
-
-  ```console
-  # nix profile install nixpkgs#bash^man
-  ```
-
-
-# Description
-
-This command adds [*installables*](./nix.md#installables) to a Nix profile.
-
-)""
diff --git a/src/nix/profile.cc b/src/nix/profile.cc
index 1a129d0c5..13ab0f659 100644
--- a/src/nix/profile.cc
+++ b/src/nix/profile.cc
@@ -338,14 +338,14 @@ builtPathsPerInstallable(
     return res;
 }
 
-struct CmdProfileInstall : InstallablesCommand, MixDefaultProfile
+struct CmdProfileAdd : InstallablesCommand, MixDefaultProfile
 {
     std::optional<int64_t> priority;
 
-    CmdProfileInstall() {
+    CmdProfileAdd() {
         addFlag({
             .longName = "priority",
-            .description = "The priority of the package to install.",
+            .description = "The priority of the package to add.",
             .labels = {"priority"},
             .handler = {&priority},
         });
@@ -353,13 +353,13 @@ struct CmdProfileInstall : InstallablesCommand, MixDefaultProfile
 
     std::string description() override
     {
-        return "install a package into a profile";
+        return "add a package to a profile";
     }
 
     std::string doc() override
     {
         return
-          #include "profile-install.md"
+          #include "profile-add.md"
           ;
     }
 
@@ -415,7 +415,7 @@ struct CmdProfileInstall : InstallablesCommand, MixDefaultProfile
                     && existingSource->originalRef == elementSource->originalRef
                     && existingSource->attrPath == elementSource->attrPath
                     ) {
-                    warn("'%s' is already installed", elementName);
+                    warn("'%s' is already added", elementName);
                     continue;
                 }
             }
@@ -462,15 +462,15 @@ struct CmdProfileInstall : InstallablesCommand, MixDefaultProfile
                 "\n"
                 "  nix profile remove %3%\n"
                 "\n"
-                "The new package can also be installed next to the existing one by assigning a different priority.\n"
+                "The new package can also be added next to the existing one by assigning a different priority.\n"
                 "The conflicting packages have a priority of %5%.\n"
                 "To prioritise the new package:\n"
                 "\n"
-                "  nix profile install %4% --priority %6%\n"
+                "  nix profile add %4% --priority %6%\n"
                 "\n"
                 "To prioritise the existing package:\n"
                 "\n"
-                "  nix profile install %4% --priority %7%\n",
+                "  nix profile add %4% --priority %7%\n",
                 originalConflictingFilePath,
                 newConflictingFilePath,
                 originalEntryName,
@@ -708,16 +708,14 @@ struct CmdProfileUpgrade : virtual SourceExprCommand, MixDefaultProfile, MixProf
 
             if (!element.source) {
                 warn(
-                    "Found package '%s', but it was not installed from a flake, so it can't be checked for upgrades!",
-                    element.identifier()
-                );
+                    "Found package '%s', but it was not added from a flake, so it can't be checked for upgrades!",
+                    element.identifier());
                 continue;
             }
             if (element.source->originalRef.input.isLocked()) {
                 warn(
-                    "Found package '%s', but it was installed from a locked flake reference so it can't be upgraded!",
-                    element.identifier()
-                );
+                    "Found package '%s', but it was added from a locked flake reference so it can't be upgraded!",
+                    element.identifier());
                 continue;
             }
 
@@ -787,7 +785,7 @@ struct CmdProfileList : virtual EvalCommand, virtual StoreCommand, MixDefaultPro
 {
     std::string description() override
     {
-        return "list installed packages";
+        return "list packages in the profile";
     }
 
     std::string doc() override
@@ -978,7 +976,7 @@ struct CmdProfile : NixMultiCommand
         : NixMultiCommand(
             "profile",
             {
-              {"install", []() { return make_ref<CmdProfileInstall>(); }},
+              {"add", []() { return make_ref<CmdProfileAdd>(); }},
               {"remove", []() { return make_ref<CmdProfileRemove>(); }},
               {"upgrade", []() { return make_ref<CmdProfileUpgrade>(); }},
               {"list", []() { return make_ref<CmdProfileList>(); }},
@@ -987,7 +985,11 @@ struct CmdProfile : NixMultiCommand
               {"rollback", []() { return make_ref<CmdProfileRollback>(); }},
               {"wipe-history", []() { return make_ref<CmdProfileWipeHistory>(); }},
           })
-    { }
+    {
+        aliases = {
+            {"install", { AliasStatus::Deprecated, {"add"}}},
+        };
+    }
 
     std::string description() override
     {
diff --git a/src/nix/store-info.cc b/src/nix/store-info.cc
index 8b4ac9b30..9402e8228 100644
--- a/src/nix/store-info.cc
+++ b/src/nix/store-info.cc
@@ -7,7 +7,7 @@
 
 using namespace nix;
 
-struct CmdPingStore : StoreCommand, MixJSON
+struct CmdInfoStore : StoreCommand, MixJSON
 {
     std::string description() override
     {
@@ -46,15 +46,4 @@ struct CmdPingStore : StoreCommand, MixJSON
     }
 };
 
-struct CmdInfoStore : CmdPingStore
-{
-    void run(nix::ref<nix::Store> store) override
-    {
-        warn("'nix store ping' is a deprecated alias for 'nix store info'");
-        CmdPingStore::run(store);
-    }
-};
-
-
-static auto rCmdPingStore = registerCommand2<CmdPingStore>({"store", "info"});
-static auto rCmdInfoStore = registerCommand2<CmdInfoStore>({"store", "ping"});
+static auto rCmdInfoStore = registerCommand2<CmdInfoStore>({"store", "info"});
diff --git a/src/nix/store.cc b/src/nix/store.cc
index b40b6d068..80f9363ca 100644
--- a/src/nix/store.cc
+++ b/src/nix/store.cc
@@ -5,7 +5,11 @@ using namespace nix;
 struct CmdStore : NixMultiCommand
 {
     CmdStore() : NixMultiCommand("store", RegisterCommand::getCommandsFor({"store"}))
-    { }
+    {
+        aliases = {
+            {"ping", { AliasStatus::Deprecated, {"info"}}},
+        };
+    }
 
     std::string description() override
     {
diff --git a/tests/functional/nix-profile.sh b/tests/functional/nix-profile.sh
index 7cf5fcb74..b1cfef6b0 100755
--- a/tests/functional/nix-profile.sh
+++ b/tests/functional/nix-profile.sh
@@ -52,7 +52,7 @@ cp "${config_nix}" $flake1Dir/
 # Test upgrading from nix-env.
 nix-env -f ./user-envs.nix -i foo-1.0
 nix profile list | grep -A2 'Name:.*foo' | grep 'Store paths:.*foo-1.0'
-nix profile install $flake1Dir -L
+nix profile add $flake1Dir -L
 nix profile list | grep -A4 'Name:.*flake1' | grep 'Locked flake URL:.*narHash'
 [[ $($TEST_HOME/.nix-profile/bin/hello) = "Hello World" ]]
 [ -e $TEST_HOME/.nix-profile/share/man ]
@@ -64,12 +64,12 @@ nix profile diff-closures | grep 'env-manifest.nix: ε → ∅'
 # Test XDG Base Directories support
 export NIX_CONFIG="use-xdg-base-directories = true"
 nix profile remove flake1 2>&1 | grep 'removed 1 packages'
-nix profile install $flake1Dir
+nix profile add $flake1Dir
 [[ $($TEST_HOME/.local/state/nix/profile/bin/hello) = "Hello World" ]]
 unset NIX_CONFIG
 
-# Test conflicting package install.
-nix profile install $flake1Dir 2>&1 | grep "warning: 'flake1' is already installed"
+# Test conflicting package add.
+nix profile add $flake1Dir 2>&1 | grep "warning: 'flake1' is already added"
 
 # Test upgrading a package.
 printf NixOS > $flake1Dir/who
@@ -132,16 +132,16 @@ nix profile history | grep 'foo: 1.0 -> ∅'
 nix profile diff-closures | grep 'Version 3 -> 4'
 
 # Test installing a non-flake package.
-nix profile install --file ./simple.nix ''
+nix profile add --file ./simple.nix ''
 [[ $(cat $TEST_HOME/.nix-profile/hello) = "Hello World!" ]]
 nix profile remove simple 2>&1 | grep 'removed 1 packages'
-nix profile install $(nix-build --no-out-link ./simple.nix)
+nix profile add $(nix-build --no-out-link ./simple.nix)
 [[ $(cat $TEST_HOME/.nix-profile/hello) = "Hello World!" ]]
 
 # Test packages with same name from different sources
 mkdir $TEST_ROOT/simple-too
 cp ./simple.nix "${config_nix}" simple.builder.sh $TEST_ROOT/simple-too
-nix profile install --file $TEST_ROOT/simple-too/simple.nix ''
+nix profile add --file $TEST_ROOT/simple-too/simple.nix ''
 nix profile list | grep -A4 'Name:.*simple' | grep 'Name:.*simple-1'
 nix profile remove simple 2>&1 | grep 'removed 1 packages'
 nix profile remove simple-1 2>&1 | grep 'removed 1 packages'
@@ -160,13 +160,13 @@ nix profile history | grep "packages.$system.default: 1.0, 1.0-man -> 3.0, 3.0-m
 nix profile remove flake1 2>&1 | grep 'removed 1 packages'
 printf 4.0 > $flake1Dir/version
 printf Utrecht > $flake1Dir/who
-nix profile install $flake1Dir
+nix profile add $flake1Dir
 [[ $($TEST_HOME/.nix-profile/bin/hello) = "Hello Utrecht" ]]
 [[ $(nix path-info --json $(realpath $TEST_HOME/.nix-profile/bin/hello) | jq -r .[].ca) =~ fixed:r:sha256: ]]
 
 # Override the outputs.
 nix profile remove simple flake1
-nix profile install "$flake1Dir^*"
+nix profile add "$flake1Dir^*"
 [[ $($TEST_HOME/.nix-profile/bin/hello) = "Hello Utrecht" ]]
 [ -e $TEST_HOME/.nix-profile/share/man ]
 [ -e $TEST_HOME/.nix-profile/include ]
@@ -179,7 +179,7 @@ nix profile upgrade flake1
 [ -e $TEST_HOME/.nix-profile/include ]
 
 nix profile remove flake1 2>&1 | grep 'removed 1 packages'
-nix profile install "$flake1Dir^man"
+nix profile add "$flake1Dir^man"
 (! [ -e $TEST_HOME/.nix-profile/bin/hello ])
 [ -e $TEST_HOME/.nix-profile/share/man ]
 (! [ -e $TEST_HOME/.nix-profile/include ])
@@ -193,9 +193,9 @@ printf World > $flake1Dir/who
 cp -r $flake1Dir $flake2Dir
 printf World2 > $flake2Dir/who
 
-nix profile install $flake1Dir
+nix profile add $flake1Dir
 [[ $($TEST_HOME/.nix-profile/bin/hello) = "Hello World" ]]
-expect 1 nix profile install $flake2Dir
+expect 1 nix profile add $flake2Dir
 diff -u <(
     nix --offline profile install $flake2Dir 2>&1 1> /dev/null \
         | grep -vE "^warning: " \
@@ -214,31 +214,31 @@ error: An existing package already provides the following file:
 
          nix profile remove flake1
 
-       The new package can also be installed next to the existing one by assigning a different priority.
+       The new package can also be added next to the existing one by assigning a different priority.
        The conflicting packages have a priority of 5.
        To prioritise the new package:
 
-         nix profile install path:${flake2Dir}#packages.${system}.default --priority 4
+         nix profile add path:${flake2Dir}#packages.${system}.default --priority 4
 
        To prioritise the existing package:
 
-         nix profile install path:${flake2Dir}#packages.${system}.default --priority 6
+         nix profile add path:${flake2Dir}#packages.${system}.default --priority 6
 EOF
 )
 [[ $($TEST_HOME/.nix-profile/bin/hello) = "Hello World" ]]
-nix profile install $flake2Dir --priority 100
+nix profile add $flake2Dir --priority 100
 [[ $($TEST_HOME/.nix-profile/bin/hello) = "Hello World" ]]
-nix profile install $flake2Dir --priority 0
+nix profile add $flake2Dir --priority 0
 [[ $($TEST_HOME/.nix-profile/bin/hello) = "Hello World2" ]]
-# nix profile install $flake1Dir --priority 100
+# nix profile add $flake1Dir --priority 100
 # [[ $($TEST_HOME/.nix-profile/bin/hello) = "Hello World" ]]
 
 # Ensure that conflicts are handled properly even when the installables aren't
 # flake references.
 # Regression test for https://github.com/NixOS/nix/issues/8284
 clearProfiles
-nix profile install $(nix build $flake1Dir --no-link --print-out-paths)
-expect 1 nix profile install --impure --expr "(builtins.getFlake ''$flake2Dir'').packages.$system.default"
+nix profile add $(nix build $flake1Dir --no-link --print-out-paths)
+expect 1 nix profile add --impure --expr "(builtins.getFlake ''$flake2Dir'').packages.$system.default"
 
 # Test upgrading from profile version 2.
 clearProfiles