Mathlib Map

Theorems · Definition · general topology

LocallyConstant.comapMonoidHom

{X : Type u_1} →
  {Y : Type u_2} →
    [inst : TopologicalSpace X] →
      [inst_1 : TopologicalSpace Y] →
        {Z : Type u_6} → [inst_2 : MulOneClass Z] → C(X, Y) → LocallyConstant Y Z →* LocallyConstant X Z

LocallyConstant.comap as a MonoidHom.

Defined in
Mathlib.Topology.LocallyConstant.Algebra
Cited by
1 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpaceMulOneClass
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

LocallyConstant.congrLeftRingEquiv · cited by 2LocallyConstant.congrLeft…LocallyConstant.comapRingHom · cited by 1LocallyConstant.comapRing…LocallyConstant.comapMonoidHom_apply · cited by 0LocallyConstant.comapMono…TopologicalSpace · cited by 24529TopologicalSpaceMonoidHom · cited by 3629MonoidHomContinuousMap · cited by 2491ContinuousMapMulOneClass · cited by 1018MulOneClassLocallyConstant · cited by 227LocallyConstantLocallyConstant.comap · cited by 32LocallyConstant.comapLocallyConstant.comapMonoidHomCITED BYCITES

Cites6

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

Cited by3

Results whose statement or proof uses this declaration.