Mathlib Map

Theorems · Theorem

EquivLike.injective_comp

∀ {E : Sort u_1} {α : Sort u_3} {β : Sort u_4} {γ : Sort u_5} [inst : EquivLike E α β] (e : E) (f : β → γ),
  Function.Injective (f ∘ ⇑e) ↔ Function.Injective f
Defined in
Mathlib.Data.FunLike.Equiv
Cited by
4 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.injective_comp · cited by 18Equiv.injective_compModule.Flat.trans · cited by 9Flat.transLinearMap.rTensor_injective_iff_subtype · cited by 2LinearMap.rTensor_injecti…AddMonoidAlgebra.map_injective · cited by 0AddMonoidAlgebra.map_inje…DFunLike.coe · cited by 62936DFunLike.coeEquivLike · cited by 165EquivLikeEquivLike.bijective · cited by 15EquivLike.bijectiveFunction.Injective.of_comp_iff' · cited by 8Injective.of_comp_iff'EquivLike.injective_compCITED BYCITES

Cites4

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

Cited by4

Results whose statement or proof uses this declaration.