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Theorems · Definition · ring theory

GroupLike.valMonoidHom

(R : Type u_1) →
  (A : Type u_2) → [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Bialgebra R A] → GroupLike R A →* A

GroupLike.val as a monoid hom.

Defined in
Mathlib.RingTheory.Bialgebra.GroupLike
Cited by
1 results in Mathlib
Foundations
Depth 86 from the axioms · uses propext, Quot.sound
Assumes
CommSemiringSemiringBialgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

GroupLike.valMonoidHom_apply · cited by 0GroupLike.valMonoidHom_ap…Semiring · cited by 13802SemiringCommSemiring · cited by 10911CommSemiringMonoidHom · cited by 3629MonoidHomBialgebra · cited by 160BialgebraGroupLike · cited by 19GroupLikeGroupLike.val · cited by 16GroupLike.valGroupLike.val_mul · cited by 0GroupLike.val_mulGroupLike.val_one · cited by 0GroupLike.val_oneGroupLike.valMonoidHomCITED BYCITES

Cites8

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

Cited by1

Results whose statement or proof uses this declaration.