Theorems · Theorem · logic and foundations
Ordinal.isSuccLimit_mul_left
∀ {a b : Ordinal.{u_4}}, Order.IsSuccLimit a → 0 < b → Order.IsSuccLimit (a * b)- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 47 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.
- Set.rangeproof · cited by 4,705
- Ordinalstatement and proof · cited by 1,688
- Order.succproof · cited by 633
- Order.IsSuccLimitstatement and proof · cited by 255
- LT.lt.falseproof · cited by 66
- Order.IsSuccLimit.bot_ltproof · cited by 13
- Ordinal.mul_succproof · cited by 8
- Ordinal.isSuccLimit_mul_rightproof · cited by 5
- Ordinal.zero_or_succ_or_isSuccLimitproof · cited by 5
- Ordinal.isSuccLimit_addproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.isSuccPrelimit_mul_leftproof · cited by 1