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Theorems · Theorem · general topology

ContinuousMap.comp_id

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] (f : C(α, β)),
  f.comp (ContinuousMap.id α) = f
Defined in
Mathlib.Topology.ContinuousMap.Basic
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

GenLoop.to_from · cited by 0GenLoop.to_fromStronglyLocallyContractibleSpace.locallyContractible · cited by 0StronglyLocallyContractib…TopologicalSpace · cited by 24529TopologicalSpaceContinuousMap · cited by 2491ContinuousMapContinuousMap.comp · cited by 181ContinuousMap.compContinuousMap.ext · cited by 92ContinuousMap.extContinuousMap.id · cited by 73ContinuousMap.idContinuousMap.comp_idCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.