Theorems · Theorem · logic and foundations
Ordinal.opow_le_opow
∀ {a b c d : Ordinal.{u_1}}, a ≤ c → b ≤ d → 0 < c → a ^ b ≤ c ^ d- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 90 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.
- LE.le.transproof · cited by 3,151
- Ordinalstatement and proof · cited by 1,688
- Ordinal.opow_le_opow_rightproof · cited by 5
- Ordinal.opow_le_opow_leftproof · cited by 4
Cited by3
Results whose statement or proof uses this declaration.
- ONote.NFBelow.repr_ltproof · cited by 7
- ONote.repr_opow_aux₁proof · cited by 1
- Ordinal.lt_omega0_opow_succproof · cited by 1