Mathlib Map

Theorems · Theorem · algebraic topology

ContinuousMap.HomotopyEquiv.right_inv

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y]
  (self : ContinuousMap.HomotopyEquiv X Y), (self.toFun.comp self.invFun).Homotopic (ContinuousMap.id Y)
Defined in
Mathlib.Topology.Homotopy.Equiv
Cited by
0 results in Mathlib
Foundations
Depth 17 from the axioms · uses no axioms
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ContinuousMap.HomotopyEquiv.symm · cited by 8HomotopyEquiv.symmFundamentalGroupoidFunctor.equivOfHomotopyEquiv · cited by 1FundamentalGroupoidFuncto…TopologicalSpace · cited by 24529TopologicalSpaceContinuousMap.comp · cited by 181ContinuousMap.compContinuousMap.id · cited by 73ContinuousMap.idContinuousMap.Homotopic · cited by 24ContinuousMap.HomotopicContinuousMap.HomotopyEquiv · cited by 23ContinuousMap.HomotopyEqu…ContinuousMap.HomotopyEquiv.toFun · cited by 12HomotopyEquiv.toFunContinuousMap.HomotopyEquiv.invFun · cited by 6HomotopyEquiv.invFunHomotopyEquiv.right_invCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.