Theorems · Theorem · commutative algebra
Ideal.kerLiftAlg_toRingHom
∀ {R₁ : Type u_1} {A : Type u_3} {B : Type u_4} [inst : CommSemiring R₁] [inst_1 : Ring A] [inst_2 : Algebra R₁ A]
[inst_3 : Semiring B] [inst_4 : Algebra R₁ B] (f : A →ₐ[R₁] B), ↑(Ideal.kerLiftAlg f) = (↑f).kerLift- Cited by
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- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- RingHomstatement · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Idealstatement · cited by 4,748
- AlgHomstatement and proof · cited by 3,236
- HasQuotient.Quotientstatement · cited by 2,301
- RingHomClass.toRingHomstatement · cited by 746
- RingHom.kerstatement · cited by 363
- RingHom.kerLiftstatement · cited by 13
- Ideal.kerLiftAlgstatement · cited by 4
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