Mathlib Map

Theorems · Theorem

EquivLike.comp_bijective

∀ {F : Sort u_2} {α : Sort u_3} {β : Sort u_4} {γ : Sort u_5} [inst : EquivLike F β γ] (f : α → β) (e : F),
  Function.Bijective (⇑e ∘ f) ↔ Function.Bijective f
Defined in
Mathlib.Data.FunLike.Equiv
Cited by
3 results in Mathlib
Foundations
Depth 12 from the axioms · uses Quot.sound
Assumes
EquivLike
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Equiv.comp_bijective · cited by 4Equiv.comp_bijectivePrefunctor.bijective_costar_iff_bijective_star · cited by 2Prefunctor.bijective_cost…CategoryTheory.Limits.Multifork.isLimit_types_iff · cited by 2Multifork.isLimit_types_i…DFunLike.coe · cited by 62936DFunLike.coeFunction.Bijective · cited by 863Function.BijectiveEquivLike · cited by 165EquivLikeFunction.Bijective.of_comp_iff' · cited by 26Bijective.of_comp_iff'EquivLike.bijective · cited by 15EquivLike.bijectiveEquivLike.comp_bijectiveCITED BYCITES

Cites5

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.