Theorems · Theorem · order theory
Finset.SupIndep.independent
∀ {α : Type u_1} {ι : Type u_3} [inst : CompleteLattice α] {s : Finset ι} {f : ι → α},
s.SupIndep f → iSupIndep (f ∘ Subtype.val)Alias of the reverse direction of iSupIndep_comp_coe_iff_supIndep.
- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- CompleteLatticestatement and proof · cited by 1,048
- iSupIndepstatement · cited by 100
- Finset.SupIndepstatement · cited by 52
- iSupIndep_comp_coe_iff_supIndepproof · cited by 3
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