Theorems · Theorem · commutative algebra
AlgHomClass.toAlgHom.congr_simp
∀ {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] {F : Type u_5} [inst_5 : FunLike F A B] [inst_6 : AlgHomClass F R A B]
(f f_1 : F), f = f_1 → ↑f = ↑f_1- Defined in
- Mathlib.RingTheory.Extension.Generators
- Cited by
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- Foundations
- Depth 18 from the axioms · uses no axioms
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- FunLikestatement and proof · cited by 2,560
- AlgHomClassstatement and proof · cited by 50
- AlgHomClass.toAlgHomstatement and proof · cited by 14
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