Theorems · Theorem · commutative algebra
RingQuot.ringQuot_ext
∀ {R : Type uR} [inst : Semiring R] {T : Type uT} [inst_1 : NonAssocSemiring T] {r : R → R → Prop}
(f g : RingQuot r →+* T), f.comp (RingQuot.mkRingHom r) = g.comp (RingQuot.mkRingHom r) → f = g- Defined in
- Mathlib.Algebra.RingQuot
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
- Assumes
- SemiringNonAssocSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement and proof · cited by 899
- NonAssocSemiringstatement and proof · cited by 805
- RingHom.extproof · cited by 331
- RingQuotstatement and proof · cited by 36
- RingHom.congr_funproof · cited by 29
- RingQuot.mkRingHomstatement and proof · cited by 16
- RingQuot.mkRingHom_surjectiveproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- RingQuot.lift_uniqueproof · cited by 1
- RingQuot.ringQuot_ext_iffproof · cited by 0