File tree Expand file tree Collapse file tree
Mathlib/Topology/Homotopy Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -510,21 +510,21 @@ private theorem subpathOn_trans_aux₂ (γ : Path x y) (a b : unitInterval) (hab
510510 ((γ.subpathOn a (convexCombo a b t) (le_convexCombo hab _)).trans
511511 (γ.subpathOn (convexCombo a b t) b (convexCombo_le hab _))) := by
512512 refine ⟨{
513- toFun := fun ⟨u, v⟩ =>
514- ((γ.subpathOn a (convexCombo a b (convexCombo s t u)) (le_convexCombo hab _)).trans
515- (γ.subpathOn (convexCombo a b (convexCombo s t u)) b (convexCombo_le hab _))) v
516- continuous_toFun := by
517- simp only [trans_apply, one_div, subpathOn_apply, convexCombo]
518- simp only [← extend_apply, dite_eq_ite]
519- apply continuous_if_le (hfg := by grind) <;> fun_prop
520- map_zero_left v := by simp [Path.trans_apply]
521- map_one_left v := by simp [Path.trans_apply]
522- prop' u x hx := by
523- rcases hx with rfl | rfl
524- · simp [Path.trans]
525- · simp [Path.trans]
526- norm_num
527- }⟩
513+ toFun := fun ⟨u, v⟩ =>
514+ ((γ.subpathOn a (convexCombo a b (convexCombo s t u)) (le_convexCombo hab _)).trans
515+ (γ.subpathOn (convexCombo a b (convexCombo s t u)) b (convexCombo_le hab _))) v
516+ continuous_toFun := by
517+ simp only [trans_apply, one_div, subpathOn_apply, convexCombo]
518+ simp only [← extend_apply, dite_eq_ite]
519+ apply continuous_if_le (hfg := by grind) <;> fun_prop
520+ map_zero_left v := by simp [Path.trans_apply]
521+ map_one_left v := by simp [Path.trans_apply]
522+ prop' u x hx := by
523+ rcases hx with rfl | rfl
524+ · simp [Path.trans]
525+ · simp [Path.trans]
526+ norm_num
527+ }⟩
528528
529529/--
530530A subpath from a to b composed with a subpath from b to c is homotopic to
You can’t perform that action at this time.
0 commit comments