Theorems · Theorem · ring theory
AlgEquiv.coe_algHom_injective
Deprecated since 2026-05-05Use AlgEquiv.coe_toAlgHom_injective instead.
∀ {R : Type uR} {A₁ : Type uA₁} {A₂ : Type uA₂} [inst : CommSemiring R] [inst_1 : Semiring A₁] [inst_2 : Semiring A₂]
[inst_3 : Algebra R A₁] [inst_4 : Algebra R A₂], Function.Injective AlgEquiv.toAlgHomAlias of AlgEquiv.coe_toAlgHom_injective.
- Defined in
- Mathlib.Algebra.Algebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- Algebrastatement · cited by 11,388
- CommSemiringstatement · cited by 10,911
- AlgHomstatement · cited by 3,236
- AlgEquivstatement · cited by 1,681
- AlgEquiv.toAlgHomstatement · cited by 273
- AlgEquiv.coe_toAlgHom_injectiveproof · cited by 8
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