Theorems · Theorem · logic and foundations
Ordinal.right_le_opow
∀ {a : Ordinal.{u_1}} (b : Ordinal.{u_1}), 1 < a → b ≤ a ^ b- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 87 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.
- Ordinalstatement and proof · cited by 1,688
- Order.IsNormal.strictMonoproof · cited by 44
- Ordinal.isNormal_opowproof · cited by 37
- StrictMono.le_applyproof · cited by 32
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.opow_omega0proof · cited by 2
- Ordinal.card_opow_eq_of_omega0_le_leftproof · cited by 1
- Ordinal.card_opow_eq_of_omega0_le_rightproof · cited by 1
- Ordinal.log_le_selfproof · cited by 0