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Theorems · Theorem

EmbeddingLike.comp_injective

∀ {α : Sort u_2} {β : Sort u_3} {γ : Sort u_4} {F : Sort u_5} [inst : FunLike F β γ] [EmbeddingLike F β γ] (f : α → β)
  (e : F), Function.Injective (⇑e ∘ f) ↔ Function.Injective f
Defined in
Mathlib.Data.FunLike.Embedding
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
FunLikeEmbeddingLike
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Around this declaration

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

EquivLike.comp_injective · cited by 4EquivLike.comp_injectiveModule.FaithfullyFlat.tensorProduct_mk_injective · cited by 1FaithfullyFlat.tensorProd…AddMonoidAlgebra.map_injective · cited by 0AddMonoidAlgebra.map_inje…DFunLike.coe · cited by 62936DFunLike.coeFunLike · cited by 2560FunLikeEmbeddingLike · cited by 20EmbeddingLikeFunction.Injective.of_comp_iff · cited by 14Injective.of_comp_iffEmbeddingLike.injective · cited by 14EmbeddingLike.injectiveEmbeddingLike.comp_injectiveCITED BYCITES

Cites5

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Cited by3

Results whose statement or proof uses this declaration.