diff --git a/crates/egui/src/layout.rs b/crates/egui/src/layout.rs
index 5981ff52402..0293904ec0a 100644
--- a/crates/egui/src/layout.rs
+++ b/crates/egui/src/layout.rs
@@ -765,7 +765,7 @@ impl Layout {
 
     /// Move to the next row in a wrapping layout.
     /// Otherwise does nothing.
-    pub(crate) fn end_row(&mut self, region: &mut Region, spacing: Vec2) {
+    pub(crate) fn end_row(&self, region: &mut Region, spacing: Vec2) {
         if self.main_wrap {
             match self.main_dir {
                 Direction::LeftToRight => {
@@ -788,7 +788,7 @@ impl Layout {
     }
 
     /// Set row height in horizontal wrapping layout.
-    pub(crate) fn set_row_height(&mut self, region: &mut Region, height: f32) {
+    pub(crate) fn set_row_height(&self, region: &mut Region, height: f32) {
         if self.main_wrap && self.is_horizontal() {
             region.cursor.max.y = region.cursor.min.y + height;
         }
diff --git a/crates/egui/src/menu.rs b/crates/egui/src/menu.rs
index 0f6aa3e533f..0d586df25a0 100644
--- a/crates/egui/src/menu.rs
+++ b/crates/egui/src/menu.rs
@@ -349,7 +349,7 @@ impl MenuRoot {
     }
 
     pub fn show<R>(
-        &mut self,
+        &self,
         button: &Response,
         add_contents: impl FnOnce(&mut Ui) -> R,
     ) -> (MenuResponse, Option<InnerResponse<R>>) {
@@ -759,7 +759,7 @@ impl MenuState {
         self.sub_menu.as_ref().map(|(_, sub)| sub)
     }
 
-    fn submenu(&mut self, id: Id) -> Option<&Arc<RwLock<Self>>> {
+    fn submenu(&self, id: Id) -> Option<&Arc<RwLock<Self>>> {
         self.sub_menu
             .as_ref()
             .and_then(|(k, sub)| if id == *k { Some(sub) } else { None })
diff --git a/crates/egui/src/widgets/text_edit/state.rs b/crates/egui/src/widgets/text_edit/state.rs
index cef845afcc5..e73664a1293 100644
--- a/crates/egui/src/widgets/text_edit/state.rs
+++ b/crates/egui/src/widgets/text_edit/state.rs
@@ -98,7 +98,7 @@ impl TextEditState {
     }
 
     #[deprecated = "Use `self.cursor.range` instead"]
-    pub fn cursor_range(&mut self, galley: &Galley) -> Option<CursorRange> {
+    pub fn cursor_range(&self, galley: &Galley) -> Option<CursorRange> {
         self.cursor.range(galley)
     }
 }
diff --git a/crates/egui_demo_app/src/frame_history.rs b/crates/egui_demo_app/src/frame_history.rs
index ddbb2794c03..535d6d9f95f 100644
--- a/crates/egui_demo_app/src/frame_history.rs
+++ b/crates/egui_demo_app/src/frame_history.rs
@@ -52,7 +52,7 @@ impl FrameHistory {
         }
     }
 
-    fn graph(&mut self, ui: &mut egui::Ui) -> egui::Response {
+    fn graph(&self, ui: &mut egui::Ui) -> egui::Response {
         use egui::{emath, epaint, pos2, vec2, Pos2, Rect, Sense, Shape, Stroke, TextStyle};
 
         ui.label("egui CPU usage history");
diff --git a/crates/egui_demo_lib/src/rendering_test.rs b/crates/egui_demo_lib/src/rendering_test.rs
index 70fd9983768..3ae4f111808 100644
--- a/crates/egui_demo_lib/src/rendering_test.rs
+++ b/crates/egui_demo_lib/src/rendering_test.rs
@@ -254,7 +254,7 @@ impl ColorTest {
         });
     }
 
-    fn vertex_gradient(&mut self, ui: &mut Ui, label: &str, bg_fill: Color32, gradient: &Gradient) {
+    fn vertex_gradient(&self, ui: &mut Ui, label: &str, bg_fill: Color32, gradient: &Gradient) {
         if !self.vertex_gradients {
             return;
         }
diff --git a/crates/egui_extras/src/loaders.rs b/crates/egui_extras/src/loaders.rs
index c119d217cee..02683e442e7 100644
--- a/crates/egui_extras/src/loaders.rs
+++ b/crates/egui_extras/src/loaders.rs
@@ -16,7 +16,7 @@
 ///
 /// - If you just want to be able to load `file://` and `http://` URIs, enable the `all_loaders` feature.
 /// - The supported set of image formats is configured by adding the [`image`](https://crates.io/crates/image)
-/// crate as your direct dependency, and enabling features on it:
+///   crate as your direct dependency, and enabling features on it:
 ///
 /// ```toml,ignore
 /// egui_extras = { version = "*", features = ["all_loaders"] }
diff --git a/crates/egui_extras/src/table.rs b/crates/egui_extras/src/table.rs
index 9fff73b2573..c8b8c5006a6 100644
--- a/crates/egui_extras/src/table.rs
+++ b/crates/egui_extras/src/table.rs
@@ -439,7 +439,7 @@ impl<'a> TableBuilder<'a> {
     }
 
     /// Reset all column widths.
-    pub fn reset(&mut self) {
+    pub fn reset(&self) {
         let state_id = self.ui.id().with(self.id_salt);
         TableState::reset(self.ui, state_id);
     }
diff --git a/crates/epaint/src/lib.rs b/crates/epaint/src/lib.rs
index 42f78531e88..4dee42381cd 100644
--- a/crates/epaint/src/lib.rs
+++ b/crates/epaint/src/lib.rs
@@ -77,6 +77,7 @@ pub use emath;
 pub use ecolor::hex_color;
 
 /// The UV coordinate of a white region of the texture mesh.
+///
 /// The default egui texture has the top-left corner pixel fully white.
 /// You need need use a clamping texture sampler for this to work
 /// (so it doesn't do bilinear blending with bottom right corner).
diff --git a/crates/epaint/src/mesh.rs b/crates/epaint/src/mesh.rs
index 10b724b9045..ba37e715856 100644
--- a/crates/epaint/src/mesh.rs
+++ b/crates/epaint/src/mesh.rs
@@ -222,7 +222,7 @@ impl Mesh {
     pub fn split_to_u16(self) -> Vec<Mesh16> {
         debug_assert!(self.is_valid());
 
-        const MAX_SIZE: u32 = std::u16::MAX as u32;
+        const MAX_SIZE: u32 = u16::MAX as u32;
 
         if self.vertices.len() <= MAX_SIZE as usize {
             // Common-case optimization:
diff --git a/crates/epaint/src/tessellator.rs b/crates/epaint/src/tessellator.rs
index 260745fff00..0c15b7dba09 100644
--- a/crates/epaint/src/tessellator.rs
+++ b/crates/epaint/src/tessellator.rs
@@ -1537,7 +1537,7 @@ impl Tessellator {
     ///
     /// * `mesh`: the mesh to tessellate.
     /// * `out`: triangles are appended to this.
-    pub fn tessellate_mesh(&mut self, mesh: &Mesh, out: &mut Mesh) {
+    pub fn tessellate_mesh(&self, mesh: &Mesh, out: &mut Mesh) {
         if !mesh.is_valid() {
             debug_assert!(false, "Invalid Mesh in Shape::Mesh");
             return;