Theorems · Theorem · commutative algebra
Ideal.Quotient.ringHom_ext_iff
∀ {R : Type u} [inst : Ring R] {I : Ideal R} {S : Type v} [inst_1 : I.IsTwoSided] [inst_2 : NonAssocSemiring S]
{f g : R ⧸ I →+* S}, f = g ↔ f.comp (Ideal.Quotient.mk I) = g.comp (Ideal.Quotient.mk I)- Defined in
- Mathlib.RingTheory.Ideal.Quotient.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientstatement and proof · cited by 2,301
- RingHom.compstatement and proof · cited by 899
- NonAssocSemiringstatement and proof · cited by 805
- Ideal.Quotient.mkstatement and proof · cited by 610
- Ideal.IsTwoSidedstatement and proof · cited by 179
- Ideal.Quotient.ringHom_extproof · cited by 17
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