Theorems · Theorem · logic and foundations
Ordinal.lt_mul_iff
∀ {a b c : Ordinal.{u_4}}, a < b * c ↔ ∃ q < c, ∃ r < b, a = b * q + r- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- le_reflproof · cited by 2,061
- Ordinalstatement and proof · cited by 1,688
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- le_imp_le_of_le_of_leproof · cited by 576
- lt_of_lt_of_leproof · cited by 438
- mul_le_mul'proof · cited by 274
- add_lt_add_rightproof · cited by 50
- mul_add_oneproof · cited by 19
- Ordinal.div_add_modproof · cited by 10
- Ordinal.lt_mul_iff_div_ltproof · cited by 8
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