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Theorems · Theorem · algebraic topology

Path.Homotopic.map

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {x₀ x₁ : X} {p q : Path x₀ x₁},
  p.Homotopic q → ∀ (f : C(X, Y)), (p.map ⋯).Homotopic (q.map ⋯)
Defined in
Mathlib.Topology.Homotopy.Path
Cited by
0 results in Mathlib
Foundations
Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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Path.Homotopic.Quotient.map · cited by 19Quotient.mapDFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceContinuousMap · cited by 2491ContinuousMapPath · cited by 318PathNonempty.map · cited by 101Nonempty.mapContinuousMap.continuous · cited by 74ContinuousMap.continuousPath.Homotopic · cited by 28Path.HomotopicPath.Homotopy · cited by 21Path.HomotopyPath.map · cited by 21Path.mapPath.Homotopy.map · cited by 4Homotopy.mapHomotopic.mapCITED BYCITES

Cites10

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