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Theorems · Theorem · order theory

RelHom.comp_apply

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {r : α → α → Prop} {s : β → β → Prop} {t : γ → γ → Prop} (g : s →r t)
  (f : r →r s) (x : α), (g.comp f) x = g (f x)
Defined in
Mathlib.Order.RelIso.Basic
Cited by
6 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SimpleGraph.Copy.comp_apply · cited by 2Copy.comp_applySimpleGraph.Iso.symm_toHom_comp_toHom · cited by 1Iso.symm_toHom_comp_toHomSimpleGraph.Subgraph.map_comp · cited by 1Subgraph.map_compSimpleGraph.Hom.sum_comp_sumComm · cited by 0Hom.sum_comp_sumCommSimpleGraph.Hom.sum_sum_comp_sumAssoc · cited by 0Hom.sum_sum_comp_sumAssocSimpleGraph.Iso.toHom_comp_symm_toHom · cited by 0Iso.toHom_comp_symm_toHomDFunLike.coe · cited by 62936DFunLike.coeRelHom · cited by 49RelHomRelHom.comp · cited by 7RelHom.compRelHom.comp_applyCITED BYCITES

Cites3

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Cited by6

Results whose statement or proof uses this declaration.