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Theorems · Theorem · ring theory

BialgHom.coe_algHom_injective

Deprecated since 2026-05-05Use BialgHom.coe_toAlgHom_injective instead.

∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
  [inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : CoalgebraStruct R A] [inst_6 : CoalgebraStruct R B],
  Function.Injective BialgHom.toAlgHom

Alias of BialgHom.coe_toAlgHom_injective.

Defined in
Mathlib.RingTheory.Bialgebra.Hom
Cited by
0 results in Mathlib
Foundations
Depth 70 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringSemiringSemiringAlgebraAlgebraCoalgebraStructCoalgebraStruct
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Semiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringAlgHom · cited by 3236AlgHomCoalgebraStruct · cited by 230CoalgebraStructBialgHom · cited by 190BialgHomBialgHom.toAlgHom · cited by 38BialgHom.toAlgHomBialgHom.coe_toAlgHom_injective · cited by 7BialgHom.coe_toAlgHom_inj…BialgHom.coe_algHom_injectiveCITED BYCITES

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