Theorems · Theorem · group theory
Submonoid.inv_sup
∀ {G : Type u_2} [inst : Group G] (S T : Submonoid G), (S ⊔ T)⁻¹ = S⁻¹ ⊔ T⁻¹- Cited by
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- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Submonoidstatement and proof · cited by 3,086
- OrderIso.map_supproof · cited by 37
- Submonoid.invstatement · cited by 15
- Submonoid.invOrderIsoproof · cited by 5
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