Theorems · Theorem · logic and foundations
Ordinal.mul_add_mod_self
∀ (x y z : Ordinal.{u_4}), (x * y + z) % x = z % x- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- Ordinalstatement and proof · cited by 1,688
- MulZeroClass.zero_mulproof · cited by 1,625
- eq_or_neproof · cited by 1,117
- mul_addproof · cited by 413
- Ordinal.add_sub_cancelproof · cited by 8
- Ordinal.mul_add_divproof · cited by 4
- Ordinal.mod_defproof · cited by 2
- Ordinal.sub_subproof · cited by 2
- Ordinal.mod_zeroproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Ordinal.CNF.opow_mul_addproof · cited by 1
- Ordinal.mod_mod_of_dvdproof · cited by 1
- Ordinal.mul_modproof · cited by 0