Theorems · Theorem · commutative algebra
RingCon.lift.congr_simp
∀ {M : Type u_1} {P : Type u_3} [inst : NonAssocSemiring M] [inst_1 : NonAssocSemiring P] (c : RingCon M)
(f f_1 : M →+* P) (e_f : f = f_1) (H : c ≤ RingCon.ker f), c.lift f H = c.lift f_1 ⋯- Defined in
- Mathlib.RingTheory.Congruence.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
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.
- RingHomstatement and proof · cited by 10,189
- NonAssocSemiringstatement and proof · cited by 805
- RingConstatement and proof · cited by 219
- RingCon.Quotientstatement · cited by 118
- RingCon.kerstatement and proof · cited by 47
- RingCon.liftstatement and proof · cited by 16
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.