Theorems · Definition · algebraic topology
ContinuousMap.HomotopyEquiv.noConfusion
{P : Sort u_1} →
{X : Type u} →
{Y : Type v} →
{inst : TopologicalSpace X} →
{inst_1 : TopologicalSpace Y} →
{t : ContinuousMap.HomotopyEquiv X Y} →
{X' : Type u} →
{Y' : Type v} →
{inst' : TopologicalSpace X'} →
{inst'_1 : TopologicalSpace Y'} →
{t' : ContinuousMap.HomotopyEquiv X' Y'} →
X = X' →
Y = Y' →
inst ≍ inst' → inst_1 ≍ inst'_1 → t ≍ t' → ContinuousMap.HomotopyEquiv.noConfusionType P t t'- Defined in
- Mathlib.Topology.Homotopy.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- ContinuousMapproof · cited by 2,491
- ContinuousMap.compproof · cited by 181
- ContinuousMap.idproof · cited by 73
- ContinuousMap.Homotopicproof · cited by 24
- ContinuousMap.HomotopyEquivstatement and proof · cited by 23
- ContinuousMap.HomotopyEquiv.noConfusionTypestatement · cited by 0
- ContinuousMap.HomotopyEquiv.casesOnproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- ContinuousMap.HomotopyEquiv.mk.noConfusionproof · cited by 1