Theorems · Theorem · logic and foundations
Ordinal.IsFundamentalSeq.iSup_add_one_eq
∀ {a o : Ordinal.{u_1}} {f : ↑(Set.Iio a) → ↑(Set.Iio o)}, Ordinal.IsFundamentalSeq f → ⨆ i, ↑(f i) + 1 = o- Cited by
- 3 results in Mathlib
- Foundations
- Depth 84 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.
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Set.rangeproof · cited by 4,705
- iSupstatement · cited by 2,415
- le_antisymmproof · cited by 2,068
- Ordinalstatement and proof · cited by 1,688
- Set.Iiostatement and proof · cited by 1,166
- LE.le.trans_ltproof · cited by 795
- le_of_forall_ltproof · cited by 25
- Ordinal.le_iSupproof · cited by 19
- Ordinal.IsFundamentalSeqstatement and proof · cited by 13
- Order.add_one_le_iffproof · cited by 8
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.isRegular_succproof · cited by 6
- Ordinal.IsFundamentalSeq.ord_cofproof · cited by 3
- Ordinal.IsFundamentalSeq.iSup_eqproof · cited by 0