Theorems · Theorem · commutative algebra
RingCon.congr_symm
∀ {M : Type u_1} {N : Type u_2} [inst : NonAssocSemiring M] [inst_1 : NonAssocSemiring N] {c : RingCon M}
{d : RingCon N} (e : M ≃+* N) (h : c = d.comap e), (RingCon.congr e h).symm = RingCon.congr e.symm ⋯- Defined in
- Mathlib.RingTheory.Congruence.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingEquivstatement and proof · cited by 1,147
- NonAssocSemiringstatement and proof · cited by 805
- RingEquiv.symmstatement · cited by 567
- RingConstatement and proof · cited by 219
- RingCon.Quotientstatement · cited by 118
- RingCon.comapstatement and proof · cited by 32
- RingEquiv.surjectivestatement · cited by 28
- Function.Surjective.forall₂statement · cited by 11
- RingCon.extstatement · cited by 9
- RingCon.congrstatement · cited by 3
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