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Theorems · Theorem · group theory

Monoid.Coprod.mk_of_inv_mul

∀ {G : Type u_1} {H : Type u_2} [inst : Group G] [inst_1 : Group H] (x : G ⊕ H),
  Monoid.Coprod.mk (FreeMonoid.of (Sum.map Inv.inv Inv.inv x)) * Monoid.Coprod.mk (FreeMonoid.of x) = 1
Defined in
Mathlib.GroupTheory.Coprod.Basic
Cited by
1 results in Mathlib
Foundations
Depth 48 from the axioms · uses propext, Quot.sound
Assumes
GroupGroup
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Around this declaration

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

Monoid.Coprod.con_inv_mul_cancel · cited by 0Coprod.con_inv_mul_cancelDFunLike.coe · cited by 62936DFunLike.coeGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomFreeMonoid · cited by 147FreeMonoidMonoid.Coprod · cited by 109Monoid.Coprodinv_mul_cancel · cited by 107inv_mul_cancelFreeMonoid.of · cited by 69FreeMonoid.ofMonoid.Coprod.inl · cited by 48Coprod.inlMonoid.Coprod.inr · cited by 47Coprod.inrMonoid.Coprod.mk · cited by 16Coprod.mkmap_mul_eq_one · cited by 6map_mul_eq_oneCoprod.mk_of_inv_mulCITED BYCITES

Cites11

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Cited by1

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