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Theorems · Theorem · algebraic topology

ContinuousMap.Homotopic.refl

∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (f : C(X, Y)), f.Homotopic f
Defined in
Mathlib.Topology.Homotopy.Basic
Cited by
7 results in Mathlib
Foundations
Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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

contractible_iff_id_nullhomotopic · cited by 1contractible_iff_id_nullh…StronglyLocallyContractibleSpace.locallyContractible · cited by 0StronglyLocallyContractib…ContinuousMap.Nullhomotopic.comp_left · cited by 0Nullhomotopic.comp_leftContinuousMap.nullhomotopic_of_constant · cited by 0ContinuousMap.nullhomotop…ContinuousMap.Nullhomotopic.comp_right · cited by 0Nullhomotopic.comp_rightContinuousMap.Homotopic.equivalence · cited by 0Homotopic.equivalenceContinuousMap.Homotopic.piMap · cited by 0Homotopic.piMapTopologicalSpace · cited by 24529TopologicalSpaceContinuousMap · cited by 2491ContinuousMapContinuousMap.Homotopic · cited by 24ContinuousMap.HomotopicContinuousMap.Homotopy.refl · cited by 2Homotopy.reflHomotopic.reflCITED BYCITES

Cites4

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Cited by7

Results whose statement or proof uses this declaration.