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Theorems · Theorem · algebraic topology

ContinuousMap.Homotopic.symm

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] ⦃f g : C(X, Y)⦄,
  f.Homotopic g → g.Homotopic f
Defined in
Mathlib.Topology.Homotopy.Basic
Cited by
3 results in Mathlib
Foundations
Depth 122 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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id_nullhomotopic · cited by 2id_nullhomotopiccontractible_iff_id_nullhomotopic · cited by 1contractible_iff_id_nullh…ContinuousMap.Homotopic.equivalence · cited by 0Homotopic.equivalenceTopologicalSpace · cited by 24529TopologicalSpaceContinuousMap · cited by 2491ContinuousMapNonempty.map · cited by 101Nonempty.mapContinuousMap.Homotopic · cited by 24ContinuousMap.HomotopicContinuousMap.Homotopy.symm · cited by 5Homotopy.symmHomotopic.symmCITED BYCITES

Cites5

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Cited by3

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