Theorems · Theorem · commutative algebra
RingCon.comapQuotientEquivRangeS_symm_mk
∀ {M : Type u_1} {N : Type u_2} [inst : NonAssocSemiring M] [inst_1 : NonAssocSemiring N] (c : RingCon M) (f : N →+* M)
{d : RingCon N} (hcd : d = c.comap f) (x : N), (c.comapQuotientEquivRangeS f hcd).symm ⟨↑(f x), ⋯⟩ = ↑x- Defined in
- Mathlib.RingTheory.Congruence.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- RingEquivstatement · cited by 1,147
- RingHom.compstatement and proof · cited by 899
- NonAssocSemiringstatement and proof · cited by 805
- RingEquiv.symmstatement · cited by 567
- Subsemiringstatement · cited by 456
- RingConstatement and proof · cited by 219
- RingCon.Quotientstatement · cited by 118
- RingCon.toQuotientstatement and proof · cited by 69
- RingHom.rangeSstatement · cited by 47
- RingCon.comapstatement and proof · cited by 32
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