Theorems · Theorem · nonassociative algebras

NonUnitalAlgHom.prod_fst_snd

∀ {R : Type u} [inst : Monoid R] {A : Type v} {B : Type w} [inst_1 : NonUnitalNonAssocSemiring A]
  [inst_2 : DistribMulAction R A] [inst_3 : NonUnitalNonAssocSemiring B] [inst_4 : DistribMulAction R B],
  (NonUnitalAlgHom.fst R A B).prod (NonUnitalAlgHom.snd R A B) = 1

Defined in: Mathlib.Algebra.Algebra.NonUnitalHom
Cited by: 0 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Quot.sound
Assumes: Monoid NonUnitalNonAssocSemiring DistribMulAction NonUnitalNonAssocSemiring DistribMulAction

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Monoidstatement and proof · cited by 3,887
NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
DistribMulActionstatement and proof · cited by 584
MonoidHom.idstatement · cited by 323
NonUnitalAlgHomstatement · cited by 148
NonUnitalAlgHom.prodstatement and proof · cited by 6
NonUnitalAlgHom.fststatement and proof · cited by 4
NonUnitalAlgHom.sndstatement and proof · cited by 4
Function.prod_fst_sndproof · cited by 4
NonUnitalAlgHom.coe_injectiveproof · cited by 2

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