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Theorems · Theorem · Lie groups

ContinuousMonoidHom.comp_toFun

∀ {A : Type u_2} {B : Type u_3} {C : Type u_4} [inst : Monoid A] [inst_1 : Monoid B] [inst_2 : Monoid C]
  [inst_3 : TopologicalSpace A] [inst_4 : TopologicalSpace B] [inst_5 : TopologicalSpace C] (g : B →ₜ* C) (f : A →ₜ* B)
  (x : A), (g.comp f) x = g (f x)
Defined in
Mathlib.Topology.Algebra.ContinuousMonoidHom
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Quot.sound
Assumes
MonoidMonoidMonoidTopologicalSpaceTopologicalSpaceTopologicalSpace
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Around this declaration

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

ProfiniteGrp.comp_apply · cited by 1ProfiniteGrp.comp_applyDFunLike.coe · cited by 62936DFunLike.coeTopologicalSpace · cited by 24529TopologicalSpaceMonoid · cited by 3887MonoidContinuousMonoidHom · cited by 104ContinuousMonoidHomContinuousMonoidHom.comp · cited by 17ContinuousMonoidHom.compContinuousMonoidHom.comp_toFunCITED BYCITES

Cites5

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Cited by1

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