Theorems · Theorem · logic and foundations
Ordinal.lt_add_iff_of_isSuccLimit
∀ {a b c : Ordinal.{u_4}}, Order.IsSuccLimit c → (a < b + c ↔ ∃ d < c, a < b + d)- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 43 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.
- LT.lt.leproof · cited by 2,189
- Ordinalstatement and proof · cited by 1,688
- add_assocproof · cited by 746
- Order.succproof · cited by 633
- Order.IsSuccLimitstatement and proof · cited by 255
- Order.succ_eq_add_oneproof · cited by 115
- Order.IsSuccLimit.succ_ltproof · cited by 18
- Order.lt_add_one_iffproof · cited by 13
- Order.IsSuccLimit.ne_botproof · cited by 5
- Ordinal.lt_add_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.add_le_iff_of_isSuccLimitproof · cited by 2