Theorems · Theorem · logic and foundations
Ordinal.add_eq_right_iff_mul_omega0_le
∀ {a b : Ordinal.{u_1}}, a + b = b ↔ a * Ordinal.omega0 ≤ b- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- add_assocproof · cited by 746
- zero_leproof · cited by 382
- Ordinal.omega0statement and proof · cited by 197
- Ordinal.derivproof · cited by 26
- Ordinal.add_sub_cancel_of_leproof · cited by 14
- Ordinal.isNormal_add_rightproof · cited by 13
- Order.IsNormal.monotoneproof · cited by 11
- mul_one_addproof · cited by 6
- Ordinal.deriv_zero_rightproof · cited by 6
- Ordinal.isNormal_derivproof · cited by 5
- Ordinal.one_add_omega0proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.deriv_add_eq_mul_omega0_addproof · cited by 0
- Ordinal.add_le_right_iff_mul_omega0_leproof · cited by 0