Theorems · Theorem · order theory
exists_eq_ciInf_of_finite
∀ {ι : Type u_1} {α : Type u_2} [inst : ConditionallyCompleteLinearOrder α] [Nonempty ι] [Finite ι] {f : ι → α},
∃ i, f i = ⨅ i, f i- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- iInfstatement · cited by 1,690
- ConditionallyCompleteLinearOrderstatement and proof · cited by 542
- Set.range_nonemptyproof · cited by 84
- Set.finite_rangeproof · cited by 58
- Set.Nonempty.csInf_memproof · cited by 3
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