Theorems · Theorem · logic and foundations
Ordinal.card_opow_le
∀ (a b : Ordinal.{u_1}), (a ^ b).card ≤ max Cardinal.aleph0 (max a.card b.card)- Defined in
- Mathlib.SetTheory.Cardinal.Ordinal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Cardinal.aleph0statement and proof · cited by 521
- le_max_rightproof · cited by 205
- Ordinal.omega0proof · cited by 197
- Ordinal.cardstatement and proof · cited by 122
- le_max_of_le_leftproof · cited by 31
- Cardinal.natCast_le_aleph0proof · cited by 20
- Ordinal.opow_natCastproof · cited by 11
- Ordinal.card_natproof · cited by 6
- Ordinal.natCast_powproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.isPrincipal_opow_omegaproof · cited by 2