Theorems · Theorem · commutative algebra

RingCon.congr.congr_simp

∀ {M : Type u_1} {N : Type u_2} [inst : NonAssocSemiring M] [inst_1 : NonAssocSemiring N] {c : RingCon M}
  {d : RingCon N} (e e_1 : M ≃+* N) (e_e : e = e_1) (h : c = d.comap e), RingCon.congr e h = RingCon.congr e_1 ⋯

Defined in: Mathlib.RingTheory.Congruence.Hom
Cited by: 0 results in Mathlib
Foundations: Depth 21 from the axioms · uses propext, Quot.sound
Assumes: NonAssocSemiring NonAssocSemiring

Mathlib docs Source Loogle LeanSearch

Around this declaration

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

Cites6

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

RingEquivstatement and proof · cited by 1,147
NonAssocSemiringstatement and proof · cited by 805
RingConstatement and proof · cited by 219
RingCon.Quotientstatement · cited by 118
RingCon.comapstatement and proof · cited by 32
RingCon.congrstatement and proof · cited by 3

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.