Theorems · Theorem · order theory
WellFoundedLT.finite_of_iSupIndep
∀ {α : Type u_2} [inst : CompleteLattice α] [WellFoundedLT α] {ι : Type u_3} {t : ι → α},
iSupIndep t → (∀ (i : ι), t i ≠ ⊥) → Finite ι- Defined in
- Mathlib.Order.CompactlyGenerated.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLatticeWellFoundedLT
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement and proof · cited by 4,720
- Finitestatement · cited by 3,029
- CompleteLatticestatement and proof · cited by 1,048
- WellFoundedLTstatement and proof · cited by 491
- iSupIndepstatement and proof · cited by 100
- Finite.of_injective_finite_rangeproof · cited by 3
- iSupIndep.injectiveproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsArtinian.finite_of_linearIndependentproof · cited by 0