diff --git a/shell-integration/zsh/.zshenv b/shell-integration/zsh/.zshenv
index 26310d337..7a087f8ae 100644
--- a/shell-integration/zsh/.zshenv
+++ b/shell-integration/zsh/.zshenv
@@ -5,7 +5,7 @@
 # Don't use [[ -v ... ]] because it doesn't work in zsh < 5.4.
 if [[ -n "${KITTY_ORIG_ZDOTDIR+X}" ]]; then
     # Normally ZDOTDIR shouldn't be exported but it was in the environment
-    # of Kitty, so we export it.
+    # of kitty, so we export it.
     'builtin' 'export' ZDOTDIR="$KITTY_ORIG_ZDOTDIR"
     'builtin' 'unset' 'KITTY_ORIG_ZDOTDIR'
 else
diff --git a/shell-integration/zsh/kitty-integration b/shell-integration/zsh/kitty-integration
index caf04de54..92325c68b 100644
--- a/shell-integration/zsh/kitty-integration
+++ b/shell-integration/zsh/kitty-integration
@@ -1,13 +1,13 @@
 #!/bin/zsh
 #
-# Enables integration between zsh and Kitty based on KITTY_SHELL_INTEGRATION.
-# The latter is set by Kitty based on kitty.conf.
+# Enables integration between zsh and kitty based on KITTY_SHELL_INTEGRATION.
+# The latter is set by kitty based on kitty.conf.
 #
 # This is an autoloadable function. It's invoked automatically in shells
-# directly spawned by Kitty but not in any other shells. For example, running
+# directly spawned by kitty but not in any other shells. For example, running
 # `exec zsh`, `sudo -E zsh`, `tmux`, or plain `zsh` will create a shell where
 # kitty-integration won't automatically run. Zsh users who want integration with
-# Kitty in all shells should add the following lines to their .zshrc:
+# kitty in all shells should add the following lines to their .zshrc:
 #
 #   if [[ -n $KITTY_INSTALLATION_DIR ]]; then
 #     export KITTY_SHELL_INTEGRATION="enabled"
@@ -32,7 +32,7 @@ builtin emulate -L zsh -o no_warn_create_global
 # 2: none of the above.
 builtin typeset -gi _ksi_state
 
-# Asks Kitty to print $@ to its stdout. This is for debugging.
+# Asks kitty to print $@ to its stdout. This is for debugging.
 _ksi_debug_print() {
     builtin local data
     data=$(command base64 <<<"${(j: :}@}") || builtin return