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Theorems · Theorem · algebraic topology

FundamentalGroup.mapOfEq.congr_simp

∀ {X : Type u_1} {Y : Type u_2} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (f f_1 : C(X, Y))
  (e_f : f = f_1) {x : X} {y : Y} (h : f x = y), FundamentalGroup.mapOfEq f h = FundamentalGroup.mapOfEq f_1 ⋯
Defined in
Mathlib.Topology.Homotopy.Lifting
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Foundations
Depth 139 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceMonoidHom · cited by 3629MonoidHomContinuousMap · cited by 2491ContinuousMapFundamentalGroupoid · cited by 60FundamentalGroupoidFundamentalGroup · cited by 30FundamentalGroupFundamentalGroup.mapOfEq · cited by 6FundamentalGroup.mapOfEqmapOfEq.congr_simpCITED BYCITES

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