diff --git a/lisp/textmodes/mhtml-mode.el b/lisp/textmodes/mhtml-mode.el
index b99f7881..2ad3c8eb 100644
--- a/lisp/textmodes/mhtml-mode.el
+++ b/lisp/textmodes/mhtml-mode.el
@@ -21,13 +21,9 @@
 
 ;;; Code:
 
-(eval-and-compile
-  (require 'flyspell)
-  (require 'sgml-mode))
+(eval-and-compile (require 'sgml-mode))
 (require 'js)
 (require 'css-mode)
-(require 'prog-mode)
-(require 'font-lock)
 
 (defcustom mhtml-tag-relative-indent t
   "How <script> and <style> bodies are indented relative to the tag.
@@ -349,6 +345,8 @@ This is used by `mhtml--pre-command'.")
       ;; HTML.
       (sgml-indent-line))))
 
+(declare-function flyspell-generic-progmode-verify "flyspell")
+
 (defun mhtml--flyspell-check-word ()
   (let ((submode (get-text-property (point) 'mhtml-submode)))
     (if submode
diff --git a/lisp/textmodes/sgml-mode.el b/lisp/textmodes/sgml-mode.el
index eb6ebf52..ad3357e0 100644
--- a/lisp/textmodes/sgml-mode.el
+++ b/lisp/textmodes/sgml-mode.el
@@ -33,10 +33,9 @@
 ;;; Code:
 
 (require 'dom)
-(require 'seq)
-(eval-when-compile (require 'subr-x))
 (eval-when-compile
   (require 'skeleton)
+  (require 'subr-x)
   (require 'cl-lib))
 
 (defgroup sgml nil
@@ -2240,7 +2239,7 @@ The result is cached in `html--buffer-classes-cache'."
         (cdr html--buffer-classes-cache)
       (let* ((dom (libxml-parse-html-region (point-min) (point-max)))
              (classes
-              (seq-mapcat
+              (mapcan
                (lambda (el)
                  (when-let* ((class-list
                               (cdr (assq 'class (dom-attributes el)))))
@@ -2258,7 +2257,7 @@ The result is cached in `html--buffer-ids-cache'."
       (let* ((dom
               (libxml-parse-html-region (point-min) (point-max)))
              (ids
-              (seq-mapcat
+              (mapcan
                (lambda (el)
                  (when-let* ((id-list
                               (cdr (assq 'id (dom-attributes el)))))