Theorems · Theorem · algebraic topology
ContinuousMap.HomotopyEquiv.ext_iff
∀ {X : Type u} {Y : Type v} {inst : TopologicalSpace X} {inst_1 : TopologicalSpace Y}
{x y : ContinuousMap.HomotopyEquiv X Y}, x = y ↔ x.toFun = y.toFun ∧ x.invFun = y.invFun- Defined in
- Mathlib.Topology.Homotopy.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses no axioms
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousMapstatement · cited by 2,491
- ContinuousMap.HomotopyEquivstatement and proof · cited by 23
- ContinuousMap.HomotopyEquiv.toFunstatement and proof · cited by 12
- ContinuousMap.HomotopyEquiv.invFunstatement and proof · cited by 6
- ContinuousMap.HomotopyEquiv.extproof · cited by 1
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