Theorems · Theorem · logic and foundations
Ordinal.mod_lt
∀ (a : Ordinal.{u_4}) {b : Ordinal.{u_4}}, b ≠ 0 → a % b < b- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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_lt_add_iff_leftproof · cited by 30
- Ordinal.div_add_modproof · cited by 10
- Ordinal.lt_mul_div_addproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Ordinal.mul_eq_right_iff_opow_omega0_dvdproof · cited by 2
- Ordinal.sub_omega0_opow_log_ltproof · cited by 1
- Ordinal.mod_opow_log_lt_selfproof · cited by 1
- Ordinal.log_mod_opow_log_lt_log_selfproof · cited by 1
- Ordinal.lt_mul_iffproof · cited by 0