Theorems · Theorem · algebraic topology
ContinuousMap.HomotopyEquiv.refl_apply
∀ (X : Type u) [inst : TopologicalSpace X] (a : X), (ContinuousMap.HomotopyEquiv.refl X).toFun a = a
- Defined in
- Mathlib.Topology.Homotopy.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement · cited by 2,491
- ContinuousMap.HomotopyEquiv.toFunstatement and proof · cited by 12
- ContinuousMap.HomotopyEquiv.reflstatement and proof · cited by 3
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