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Theorems · Theorem · group theory

Monoid.Coprod.toProd_apply_inr

∀ {M : Type u_1} {N : Type u_2} [inst : Monoid M] [inst_1 : Monoid N] (x : N),
  Monoid.Coprod.toProd (Monoid.Coprod.inr x) = (1, x)
Defined in
Mathlib.GroupTheory.Coprod.Basic
Cited by
1 results in Mathlib
Foundations
Depth 48 from the axioms · uses propext, Quot.sound
Assumes
MonoidMonoid
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Around this declaration

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

Monoid.Coprod.toProd_surjective · cited by 0Coprod.toProd_surjectiveDFunLike.coe · cited by 62936DFunLike.coeMonoid · cited by 3887MonoidMonoidHom · cited by 3629MonoidHomMonoid.Coprod · cited by 109Monoid.CoprodMonoid.Coprod.inr · cited by 47Coprod.inrMonoid.Coprod.toProd · cited by 11Coprod.toProdCoprod.toProd_apply_inrCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.