Theorems · Theorem · logic and foundations
Ordinal.mul_add_div
∀ (a : Ordinal.{u_4}) {b : Ordinal.{u_4}}, b ≠ 0 → ∀ (c : Ordinal.{u_4}), (b * a + c) / b = a + c / b- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 4 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_antisymmproof · cited by 2,068
- Ordinalstatement and proof · cited by 1,688
- add_assocproof · cited by 746
- mul_addproof · cited by 413
- add_le_add_iff_leftproof · cited by 45
- add_lt_add_iff_leftproof · cited by 30
- Ordinal.mul_le_iff_le_divproof · cited by 10
- Ordinal.mul_succproof · cited by 8
- Ordinal.mul_div_leproof · cited by 6
- Ordinal.div_leproof · cited by 6
- Ordinal.lt_mul_div_addproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.mul_div_cancelproof · cited by 4
- Ordinal.mul_add_mod_selfproof · cited by 3
- Ordinal.CNF.opow_mul_addproof · cited by 1
- Ordinal.mul_subproof · cited by 1