Theorems · Theorem · logic and foundations
Ordinal.isSuccLimit_sub
∀ {a b : Ordinal.{u_4}}, Order.IsSuccPrelimit a → b < a → Order.IsSuccLimit (a - b)- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinalstatement and proof · cited by 1,688
- add_assocproof · cited by 746
- Order.IsSuccLimitstatement · cited by 255
- Order.IsSuccPrelimitstatement and proof · cited by 157
- Order.succ_eq_add_oneproof · cited by 115
- Order.IsSuccPrelimit.succ_ltproof · cited by 7
- Ordinal.isSuccLimit_iffproof · cited by 6
- Order.isSuccPrelimit_iff_succ_ltproof · cited by 4
- Ordinal.lt_subproof · cited by 2
- Ordinal.sub_ne_zero_iff_ltproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.isSuccPrelimit_iff_omega0_dvdproof · cited by 2
- Ordinal.isSuccLimit_add_iffproof · cited by 1