Theorems · Theorem · order theory
WellFoundedGT.ciSup_eq_monotonicSequenceLimit
∀ {α : Type u_1} [inst : ConditionallyCompleteLattice α] [WellFoundedGT α] (a : ℕ →o α),
BddAbove (Set.range ⇑a) → iSup ⇑a = monotonicSequenceLimit a- Defined in
- Mathlib.Order.OrderIsoNat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Set.rangestatement and proof · cited by 4,705
- iSupstatement · cited by 2,415
- OrderHomstatement and proof · cited by 934
- BddAbovestatement and proof · cited by 620
- LE.le.antisymmproof · cited by 507
- ConditionallyCompleteLatticestatement and proof · cited by 364
- WellFoundedGTstatement and proof · cited by 114
- le_ciSupproof · cited by 57
- ciSup_leproof · cited by 56
- monotonicSequenceLimitstatement · cited by 4
- monotonicSequenceLimitIndexproof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.