Mathlib Map

Theorems · Definition · algebraic topology

ContinuousMap.HomotopyEquiv.Simps.apply

{X : Type u} →
  {Y : Type v} → [inst : TopologicalSpace X] → [inst_1 : TopologicalSpace Y] → ContinuousMap.HomotopyEquiv X Y → X → Y

See Note [custom simps projection]. We need to specify this projection explicitly in this case, because it is a composition of multiple projections.

Defined in
Mathlib.Topology.Homotopy.Equiv
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Foundations
Depth 14 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpace
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DFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceContinuousMap.HomotopyEquiv · cited by 23ContinuousMap.HomotopyEqu…ContinuousMap.HomotopyEquiv.toFun · cited by 12HomotopyEquiv.toFunSimps.applyCITED BYCITES

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