Theorems · Theorem · order theory
iSupIndep.sup_indep_univ
∀ {α : Type u_1} {ι : Type u_3} [inst : CompleteLattice α] [inst_1 : Fintype ι] {f : ι → α},
iSupIndep f → Finset.univ.SupIndep fAlias of the forward direction of iSupIndep_iff_supIndep_univ.
A variant of iSupIndep_comp_coe_iff_supIndep for Fintypes.
- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLatticeFintype
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement · cited by 3,473
- CompleteLatticestatement and proof · cited by 1,048
- iSupIndepstatement · cited by 100
- Finset.SupIndepstatement · cited by 52
- iSupIndep_iff_supIndep_univproof · cited by 2
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