Theorems · Theorem · group theory
Submonoid.inv_iSup
∀ {G : Type u_2} [inst : Group G] {ι : Sort u_7} (S : ι → Submonoid G), (⨆ i, S i)⁻¹ = ⨆ i, (S i)⁻¹- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites6
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
- iSupstatement · cited by 2,415
- OrderIso.map_iSupproof · cited by 25
- Submonoid.invstatement · cited by 15
- Submonoid.invOrderIsoproof · cited by 5
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