Theorems · Theorem · logic and foundations
Ordinal.lt_mul_succ_div
∀ (a : Ordinal.{u_4}) {b : Ordinal.{u_4}}, b ≠ 0 → a < b * Order.succ (a / b)- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 65 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.
- le_reflproof · cited by 2,061
- Ordinalstatement and proof · cited by 1,688
- Order.succstatement · cited by 633
- Order.lt_succ_iffproof · cited by 22
- Ordinal.lt_mul_iff_div_ltproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- Ordinal.lt_omega0_opowproof · cited by 3
- Ordinal.mul_add_div_mulproof · cited by 2
- Ordinal.lt_mul_div_addproof · cited by 2
- Ordinal.div_eq_iffproof · cited by 1
- Ordinal.mul_eq_opow_log_succproof · cited by 0