Theorems · Theorem · group theory
AddSubgroup.unop_iSup
∀ {ι : Sort u_1} {G : Type u_2} [inst : AddGroup G] (S : ι → AddSubgroup Gᵃᵒᵖ), (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
- AddGroup
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubgroupstatement and proof · cited by 3,232
- iSupstatement · cited by 2,415
- OrderIso.symmproof · cited by 475
- AddOppositestatement and proof · cited by 452
- AddSubgroup.unopstatement · cited by 30
- OrderIso.map_iSupproof · cited by 25
- AddSubgroup.opEquivproof · cited by 18
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