Theorems · Theorem · group theory
AddSubsemigroup.unop_iInf
∀ {ι : Sort u_1} {M : Type u_2} [inst : Add M] (S : ι → AddSubsemigroup Mᵃᵒᵖ), (iInf S).unop = ⨅ i, (S i).unop- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Add
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iInfstatement · cited by 1,690
- OrderIso.symmproof · cited by 475
- AddOppositestatement and proof · cited by 452
- AddSubsemigroupstatement and proof · cited by 262
- OrderIso.map_iInfproof · cited by 25
- AddSubsemigroup.unopstatement · cited by 25
- AddSubsemigroup.opEquivproof · cited by 18
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