Theorems · Theorem · order theory
iSup_succ
∀ {α : Type u_2} [inst : ConditionallyCompleteLinearOrderBot α] [inst_1 : SuccOrder α] (x : α), ⨆ a, Order.succ ↑a = x- Cited by
- 1 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.rangeproof · cited by 4,705
- iSupstatement · cited by 2,415
- le_antisymmproof · cited by 2,068
- Set.Iiostatement and proof · cited by 1,166
- Order.succstatement and proof · cited by 633
- BddAboveproof · cited by 620
- SuccOrderstatement and proof · cited by 574
- ConditionallyCompleteLinearOrderBotstatement and proof · cited by 84
- Order.succ_le_of_ltproof · cited by 42
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.rank_toPSetproof · cited by 1