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Theorems · Theorem · commutative algebra

RingQuot.mkAlgHom_def

∀ (S : Type u_1) [inst : CommSemiring S] {A : Type u_2} [inst_1 : Semiring A] [inst_2 : Algebra S A] (s : A → A → Prop),
  RingQuot.mkAlgHom S s =
    let __src := RingQuot.mkRingHom s;
    { toRingHom := __src, commutes' := ⋯ }
Defined in
Mathlib.Algebra.RingQuot
Cited by
4 results in Mathlib
Foundations
Depth 42 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringSemiringAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

RingQuot.liftAlgHom_mkAlgHom_apply · cited by 1RingQuot.liftAlgHom_mkAlg…RingQuot.mkAlgHom_rel · cited by 1RingQuot.mkAlgHom_relRingQuot.mkAlgHom_surjective · cited by 1RingQuot.mkAlgHom_surject…RingQuot.mkAlgHom_coe · cited by 0RingQuot.mkAlgHom_coeSemiring · cited by 13802SemiringAlgebra · cited by 11388AlgebraCommSemiring · cited by 10911CommSemiringRingHom · cited by 10189RingHomAlgHom · cited by 3236AlgHomRingQuot · cited by 36RingQuotRingQuot.mkRingHom · cited by 16RingQuot.mkRingHomRingQuot.mkAlgHom · cited by 10RingQuot.mkAlgHomRingQuot.mkAlgHom_defCITED BYCITES

Cites8

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

Cited by4

Results whose statement or proof uses this declaration.