Theorems · Theorem · commutative algebra
RingCon.coe_comapQuotientEquivRange_mk
∀ {M : Type u_1} {N : Type u_2} [inst : Ring M] [inst_1 : Ring N] (c : RingCon M) (f : N →+* M) {d : RingCon N}
(hcd : d = c.comap f) (x : N), ↑((c.comapQuotientEquivRange f hcd) ↑x) = ↑(f x)- Defined in
- Mathlib.RingTheory.Congruence.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- RingEquivstatement · cited by 1,147
- RingHom.compstatement · cited by 899
- Subringstatement · cited by 602
- RingConstatement and proof · cited by 219
- RingHom.rangestatement · cited by 138
- RingCon.Quotientstatement · cited by 118
- RingCon.toQuotientstatement · cited by 69
- RingCon.comapstatement and proof · cited by 32
- RingCon.mk'statement · cited by 23
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