Theorems · Theorem · order theory
ciInf_eq_univ_of_not_bddBelow
∀ {α : Type u_1} {ι : Sort u_4} [inst : ConditionallyCompleteLinearOrder α] {f : ι → α},
¬BddBelow (Set.range f) → ⨅ i, f i = sInf Set.univ- Cited by
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- Foundations
- Depth 11 from the axioms · uses no axioms
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.rangestatement and proof · cited by 4,705
- Set.univstatement · cited by 3,945
- iInfstatement · cited by 1,690
- InfSet.sInfstatement · cited by 935
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- BddBelowstatement and proof · cited by 401
- csInf_eq_univ_of_not_bddBelowproof · cited by 1
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