Theorems · Theorem · logic and foundations
Ordinal.one_add_omega0
1 + Ordinal.omega0 = Ordinal.omega0
- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- Ordinalstatement · cited by 1,688
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.natCast_add_omega0proof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Ordinal.mul_eq_right_iff_opow_omega0_dvdproof · cited by 2
- Ordinal.add_eq_right_iff_mul_omega0_leproof · cited by 2
- Ordinal.nfp_mul_opow_omega0_addproof · cited by 1
- Ordinal.nfp_mul_eq_opow_omega0proof · cited by 0
- Ordinal.nfp_add_eq_mul_omega0proof · cited by 0