Theorems · Theorem · ring theory
AddMonoidAlgebra.counitAlgHom_comp_mapRingHom
∀ {R : Type u_1} {S : Type u_2} {M : Type u_8} [inst : CommSemiring R] [inst_1 : CommSemiring S]
[inst_2 : AddCommMonoid M] (f : R →+* S),
(Bialgebra.counitAlgHom S (AddMonoidAlgebra S M)).comp (AddMonoidAlgebra.mapRingHom M f) =
f.comp (Bialgebra.counitAlgHom R (AddMonoidAlgebra R M)).toRingHom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- AddCommMonoidstatement and proof · cited by 12,281
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement and proof · cited by 899
- map_oneproof · cited by 861
- RingHomClass.toRingHomproof · cited by 746
- AddMonoidAlgebrastatement and proof · cited by 649
- AlgHom.toRingHomstatement and proof · cited by 490
- MonoidHom.compproof · cited by 469
- RingHom.extproof · cited by 331
- MonoidHomClass.toMonoidHomproof · cited by 294
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