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Theorems · Theorem · order theory

iSupIndep.supIndep

∀ {α : Type u_1} {ι : Type u_3} [inst : CompleteLattice α] {s : Finset ι} {f : ι → α},
  iSupIndep (f ∘ Subtype.val) → s.SupIndep f

Alias of the forward direction of iSupIndep_comp_coe_iff_supIndep.

Defined in
Mathlib.Order.SupIndep
Cited by
1 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CompleteLattice
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

iSupIndep.supIndep' · cited by 4iSupIndep.supIndep'Finset · cited by 13712FinsetCompleteLattice · cited by 1048CompleteLatticeiSupIndep · cited by 100iSupIndepFinset.SupIndep · cited by 52Finset.SupIndepiSupIndep_comp_coe_iff_supIndep · cited by 3iSupIndep_comp_coe_iff_su…iSupIndep.supIndepCITED BYCITES

Cites5

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Cited by1

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