Theorems · Theorem · logic and foundations
Ordinal.div_le_of_le_mul
∀ {a b c : Ordinal.{u_4}}, a ≤ b * c → a / b ≤ c- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 2 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.
Cites8
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
- eq_or_neproof · cited by 1,117
- LE.le.trans_ltproof · cited by 795
- pos_iff_ne_zeroproof · cited by 180
- mul_lt_mul_of_pos_leftproof · cited by 71
- Order.lt_succproof · cited by 45
- Ordinal.div_zeroproof · cited by 7
- Ordinal.div_leproof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.zero_divproof · cited by 2
- Ordinal.mul_lt_of_lt_divproof · cited by 0