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chore: rename AffineIsometry{Equiv}.{anti}lipschitz #44003

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chore: rename AffineIsometry{Equiv}.{anti}lipschitz #44003

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14 changes: 10 additions & 4 deletions Mathlib/Analysis/Normed/Affine/Isometry.lean
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Original file line number Diff line number Diff line change
Expand Up @@ -154,12 +154,15 @@ theorem map_eq_iff {x y : P₁'} : f₁ x = f₁ y ↔ x = y :=
theorem map_ne {x y : P₁'} (h : x ≠ y) : f₁ x ≠ f₁ y :=
f₁.injective.ne h

protected theorem lipschitz : LipschitzWith 1 f :=
protected theorem lipschitzWith : LipschitzWith 1 f :=
f.isometry.lipschitzWith

protected theorem antilipschitz : AntilipschitzWith 1 f :=
protected theorem antilipschitzWith : AntilipschitzWith 1 f :=
f.isometry.antilipschitzWith

@[deprecated (since := "2026-09-20")] alias lipschitz := AffineIsometry.lipschitzWith
@[deprecated (since := "2026-09-20")] alias antilipschitz := AffineIsometry.antilipschitzWith

@[continuity]
protected theorem continuous : Continuous f :=
f.isometry.continuous
Expand Down Expand Up @@ -634,12 +637,15 @@ theorem map_eq_iff {x y : P} : e x = e y ↔ x = y :=
theorem map_ne {x y : P} (h : x ≠ y) : e x ≠ e y :=
e.injective.ne h

protected theorem lipschitz : LipschitzWith 1 e :=
protected theorem lipschitzWith : LipschitzWith 1 e :=
e.isometry.lipschitzWith

protected theorem antilipschitz : AntilipschitzWith 1 e :=
protected theorem antilipschitzWith : AntilipschitzWith 1 e :=
e.isometry.antilipschitzWith

@[deprecated (since := "2026-09-20")] alias lipschitz := AffineIsometryEquiv.lipschitzWith
@[deprecated (since := "2026-09-20")] alias antilipschitz := AffineIsometryEquiv.antilipschitzWith

@[simp]
theorem ediam_image (s : Set P) : ediam (e '' s) = ediam s :=
e.isometry.ediam_image s
Expand Down
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