Theorems · Theorem · commutative algebra
RingCon.quotientQuotientEquivQuotient_mk_mk
∀ {M : Type u_1} [inst : NonAssocSemiring M] (c d : RingCon M) (h : c ≤ d) (x : M),
(c.quotientQuotientEquivQuotient d h) ⟦⟦x⟧⟧ = ⟦x⟧- Defined in
- Mathlib.RingTheory.Congruence.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocSemiring
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Cites10
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 · cited by 1,147
- NonAssocSemiringstatement and proof · cited by 805
- RingConstatement and proof · cited by 219
- RingCon.Quotientstatement · cited by 118
- RingCon.kerstatement · cited by 47
- Con.toSetoidstatement · cited by 38
- RingCon.toConstatement · cited by 36
- RingCon.mapstatement · cited by 4
- RingCon.quotientQuotientEquivQuotientstatement · cited by 3
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