Theorems · Theorem · logic and foundations
Ordinal.mul_add_div_mul
∀ {a c : Ordinal.{u_4}}, c < a → ∀ (b d : Ordinal.{u_4}), (a * b + c) / (a * d) = b / d- 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.
Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.mul_zeroproof · cited by 2,091
- le_antisymmproof · cited by 2,068
- le_reflproof · cited by 2,061
- Ordinalstatement and proof · cited by 1,688
- mul_assocproof · cited by 1,667
- eq_or_neproof · cited by 1,117
- Order.succproof · cited by 633
- 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
- mul_ne_zeroproof · cited by 178
- le_self_addproof · cited by 68
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.mul_add_mod_mulproof · cited by 1
- Ordinal.mul_div_mul_cancelproof · cited by 0