Theorems · Theorem · logic and foundations
Ordinal.mul_succ
∀ (a b : Ordinal.{u_4}), a * Order.succ b = a * b + a- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Order.succstatement · cited by 633
- mul_add_oneproof · cited by 19
Cited by8
Results whose statement or proof uses this declaration.
- ONote.NFBelow.repr_ltproof · cited by 7
- Ordinal.mul_add_divproof · cited by 4
- Ordinal.mul_add_div_mulproof · cited by 2
- Ordinal.isSuccPrelimit_iff_omega0_dvdproof · cited by 2
- Ordinal.lt_mul_div_addproof · cited by 2
- Ordinal.nfp_mul_opow_omega0_addproof · cited by 1
- Ordinal.isSuccLimit_mul_leftproof · cited by 1
- ONote.oadd_lt_oadd_2proof · cited by 0