Theorems · Theorem · logic and foundations
Ordinal.type_lt_mem_range_succ
∀ {α : Type u} [inst : LinearOrder α] [inst_1 : WellFoundedLT α] [OrderTop α],
(Ordinal.type fun x1 x2 => x1 < x2) ∈ Set.range Order.succ- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Top.topproof · cited by 9,680
- LinearOrderstatement and proof · cited by 8,572
- Set.rangestatement · cited by 4,705
- Ordinalstatement · cited by 1,688
- Order.succstatement · cited by 633
- OrderTopstatement and proof · cited by 493
- WellFoundedLTstatement and proof · cited by 491
- Ordinal.typestatement · cited by 207
- IsWellOrderstatement · cited by 171
- isMax_topproof · cited by 12
- Ordinal.type_lt_mem_range_succ_iffproof · cited by 3
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