Theorems · Theorem · logic and foundations
Ordinal.eq_zero_or_opow_omega0_le_of_mul_eq_right
∀ {a b : Ordinal.{u_1}}, a * b = b → b = 0 ∨ a ^ Ordinal.omega0 ≤ b- Defined in
- Mathlib.SetTheory.Ordinal.FixedPoint
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- zero_leproof · cited by 382
- le_of_eqproof · cited by 366
- Ordinal.omega0statement and proof · cited by 197
- eq_zero_or_posproof · cited by 54
- Order.one_le_iff_ne_zeroproof · cited by 32
- Ordinal.isNormal_mul_rightproof · cited by 14
- Ordinal.zero_opowproof · cited by 13
- Order.IsNormal.monotoneproof · cited by 11
- Ordinal.omega0_ne_zeroproof · cited by 10
- Ordinal.nfp_le_fpproof · cited by 6
- Ordinal.nfp_mul_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.mul_eq_right_iff_opow_omega0_dvdproof · cited by 2