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Theorems · Theorem · ring theory

AlgHom.coe_fn_injective

∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
  [inst_3 : Algebra R A] [inst_4 : Algebra R B], Function.Injective DFunLike.coe
Defined in
Mathlib.Algebra.Algebra.Hom
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses no axioms
Assumes
CommSemiringSemiringSemiringAlgebraAlgebra
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Around this declaration

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

AlgHom.coe_ringHom_injective · cited by 20AlgHom.coe_ringHom_inject…DFunLike.coe · cited by 62936DFunLike.coeSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringAlgHom · cited by 3236AlgHomDFunLike.coe_injective · cited by 161DFunLike.coe_injectiveAlgHom.coe_fn_injectiveCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.