Mathlib Map

Theorems · Theorem · commutative algebra

RingCon.comapQuotientEquivRange_symm_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).symm ⟨↑(f x), ⋯⟩ = ↑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
Assumes
RingRing

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites15

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.