Theorems · Theorem · commutative algebra
RingHom.ker_equiv
∀ {R : Type u} {S : Type v} [inst : Semiring R] [inst_1 : Semiring S] {F' : Type u_3} [inst_2 : EquivLike F' R S]
[inst_3 : RingEquivClass F' R S] (f : F'), RingHom.ker f = ⊥- Defined in
- Mathlib.RingTheory.Ideal.Maps
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Idealstatement · cited by 4,748
- Bot.botstatement · cited by 4,720
- RingHom.kerstatement · cited by 363
- EquivLikestatement and proof · cited by 165
- Ideal.extproof · cited by 131
- RingEquivClassstatement and proof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.Generators.ker_localizationAwayproof · cited by 1