Theorems · Theorem · order theory
iSupIndep.injective
∀ {α : Type u_1} {ι : Type u_3} [inst : CompleteLattice α] {t : ι → α},
iSupIndep t → (∀ (i : ι), t i ≠ ⊥) → Function.Injective t- Defined in
- Mathlib.Order.SupIndep
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CompleteLattice
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.
- Set.ofPredproof · cited by 6,101
- Bot.botstatement and proof · cited by 4,720
- Set.univproof · cited by 3,945
- CompleteLatticestatement and proof · cited by 1,048
- Set.InjOnproof · cited by 543
- iSupIndepstatement and proof · cited by 100
- iSupIndep.injOnproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- WellFoundedGT.finite_of_iSupIndepproof · cited by 3
- WellFoundedLT.finite_of_iSupIndepproof · cited by 1