Theorems · Theorem · logic and foundations
Ordinal.lt_div
∀ {a b c : Ordinal.{u_4}}, c ≠ 0 → (a < b / c ↔ c * Order.succ a ≤ b)- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Order.succstatement and proof · cited by 633
- not_leproof · cited by 328
- not_ltproof · cited by 306
- Ordinal.div_leproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.div_posproof · cited by 2