diff --git a/.github/workflows/ci.yml b/.github/workflows/ci.yml
index 1b4f76871..d7c6214ff 100644
--- a/.github/workflows/ci.yml
+++ b/.github/workflows/ci.yml
@@ -30,7 +30,7 @@ jobs:
     runs-on: ${{ matrix.os }}
     steps:
       - uses: actions/checkout@v4
-      - uses: dtolnay/rust-toolchain@1.77.0
+      - uses: dtolnay/rust-toolchain@1.79.0
       - uses: Swatinem/rust-cache@v2
       - run: cargo test --workspace --no-run
       - run: cargo test --workspace --no-fail-fast
@@ -40,7 +40,7 @@ jobs:
     runs-on: ubuntu-latest
     steps:
       - uses: actions/checkout@v4
-      - uses: dtolnay/rust-toolchain@1.77.0
+      - uses: dtolnay/rust-toolchain@1.79.0
         with:
           components: clippy, rustfmt
       - uses: Swatinem/rust-cache@v2
diff --git a/.github/workflows/release.yml b/.github/workflows/release.yml
index 8cfc15ed2..51a27ea91 100644
--- a/.github/workflows/release.yml
+++ b/.github/workflows/release.yml
@@ -37,7 +37,7 @@ jobs:
 
     steps:
     - uses: actions/checkout@v4
-    - uses: dtolnay/rust-toolchain@1.77.0
+    - uses: dtolnay/rust-toolchain@1.79.0
       with:
         target: ${{ matrix.target }}
 
diff --git a/crates/typst-pdf/src/image.rs b/crates/typst-pdf/src/image.rs
index 0df67c615..837975013 100644
--- a/crates/typst-pdf/src/image.rs
+++ b/crates/typst-pdf/src/image.rs
@@ -95,7 +95,7 @@ pub fn write_images(context: &WithGlobalRefs) -> (PdfChunk, HashMap<Image, Ref>)
                     svg_chunk.renumber_into(&mut chunk.chunk, |old| {
                         *map.entry(old).or_insert_with(|| chunk.alloc.bump())
                     });
-                    out.insert(image.clone(), map[&id]);
+                    out.insert(image.clone(), map[id]);
                 }
             }
         }
diff --git a/crates/typst-svg/src/text.rs b/crates/typst-svg/src/text.rs
index dc5442f99..04b75123b 100644
--- a/crates/typst-svg/src/text.rs
+++ b/crates/typst-svg/src/text.rs
@@ -238,7 +238,7 @@ fn convert_outline_glyph_to_path(
 /// Convert a bitmap glyph to an encoded image URL.
 #[comemo::memoize]
 fn convert_bitmap_glyph_to_image(font: &Font, id: GlyphId) -> Option<(Image, f64, f64)> {
-    let raster = font.ttf().glyph_raster_image(id, std::u16::MAX)?;
+    let raster = font.ttf().glyph_raster_image(id, u16::MAX)?;
     if raster.format != ttf_parser::RasterImageFormat::PNG {
         return None;
     }
diff --git a/crates/typst/src/foundations/content.rs b/crates/typst/src/foundations/content.rs
index c3ab38518..656049dd5 100644
--- a/crates/typst/src/foundations/content.rs
+++ b/crates/typst/src/foundations/content.rs
@@ -782,7 +782,7 @@ impl<T: NativeElement> Packed<T> {
             // Safety:
             // - We have checked the type.
             // - Packed<T> is repr(transparent).
-            return Some(unsafe { std::mem::transmute(content) });
+            return Some(unsafe { std::mem::transmute::<&Content, &Packed<T>>(content) });
         }
         None
     }
@@ -793,7 +793,9 @@ impl<T: NativeElement> Packed<T> {
             // Safety:
             // - We have checked the type.
             // - Packed<T> is repr(transparent).
-            return Some(unsafe { std::mem::transmute(content) });
+            return Some(unsafe {
+                std::mem::transmute::<&mut Content, &mut Packed<T>>(content)
+            });
         }
         None
     }
@@ -804,7 +806,7 @@ impl<T: NativeElement> Packed<T> {
             // Safety:
             // - We have checked the type.
             // - Packed<T> is repr(transparent).
-            return Ok(unsafe { std::mem::transmute(content) });
+            return Ok(unsafe { std::mem::transmute::<Content, Packed<T>>(content) });
         }
         Err(content)
     }
diff --git a/crates/typst/src/layout/container.rs b/crates/typst/src/layout/container.rs
index 533d6b7e4..58a8d1077 100644
--- a/crates/typst/src/layout/container.rs
+++ b/crates/typst/src/layout/container.rs
@@ -910,6 +910,7 @@ mod callbacks {
                         //   private field and `Content`'s `Clone` impl is
                         //   guaranteed to retain the type (if it didn't,
                         //   literally everything would break).
+                        #[allow(clippy::missing_transmute_annotations)]
                         f: unsafe { std::mem::transmute(f) },
                     }
                 }
diff --git a/crates/typst/src/text/font/variant.rs b/crates/typst/src/text/font/variant.rs
index 644d9f75d..b798426f7 100644
--- a/crates/typst/src/text/font/variant.rs
+++ b/crates/typst/src/text/font/variant.rs
@@ -110,7 +110,7 @@ impl FontWeight {
     /// Create a font weight from a number between 100 and 900, clamping it if
     /// necessary.
     pub fn from_number(weight: u16) -> Self {
-        Self(weight.max(100).min(900))
+        Self(weight.clamp(100, 900))
     }
 
     /// The number between 100 and 900.
@@ -120,7 +120,7 @@ impl FontWeight {
 
     /// Add (or remove) weight, saturating at the boundaries of 100 and 900.
     pub fn thicken(self, delta: i16) -> Self {
-        Self((self.0 as i16).saturating_add(delta).max(100).min(900) as u16)
+        Self((self.0 as i16).saturating_add(delta).clamp(100, 900) as u16)
     }
 
     /// The absolute number distance between this and another font weight.
@@ -219,7 +219,7 @@ impl FontStretch {
     /// Create a font stretch from a ratio between 0.5 and 2.0, clamping it if
     /// necessary.
     pub fn from_ratio(ratio: Ratio) -> Self {
-        Self((ratio.get().max(0.5).min(2.0) * 1000.0) as u16)
+        Self((ratio.get().clamp(0.5, 2.0) * 1000.0) as u16)
     }
 
     /// Create a font stretch from an OpenType-style number between 1 and 9,