Theorems · Theorem · group theory
Subgroup.unop_iSup
∀ {ι : Sort u_1} {G : Type u_2} [inst : Group G] (S : ι → Subgroup Gᵐᵒᵖ), (iSup S).unop = ⨆ i, (S i).unop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites8
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
- Subgroupstatement and proof · cited by 3,593
- iSupstatement · cited by 2,415
- MulOppositestatement and proof · cited by 1,135
- OrderIso.symmproof · cited by 475
- Subgroup.unopstatement · cited by 30
- OrderIso.map_iSupproof · cited by 25
- Subgroup.opEquivproof · cited by 18
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