Theorems · Theorem · logic and foundations
Ordinal.isNormal_opow
∀ {a : Ordinal.{u_1}}, 1 < a → Order.IsNormal fun x => a ^ x- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 37 results in Mathlib
- Foundations
- Depth 86 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.
- Set.ofPredproof · cited by 6,101
- mul_oneproof · cited by 3,885
- Ordinalstatement and proof · cited by 1,688
- LT.lt.ne'proof · cited by 1,417
- Set.Iioproof · cited by 1,166
- zero_lt_oneproof · cited by 598
- LT.lt.transproof · cited by 370
- Order.IsSuccLimitproof · cited by 255
- Order.IsNormalstatement · cited by 118
- mul_lt_mul_of_pos_leftproof · cited by 71
- Ordinal.opow_posproof · cited by 22
- Ordinal.opow_succproof · cited by 11
Cited by37
Results whose statement or proof uses this declaration.
- Ordinal.opow_addproof · cited by 9
- Ordinal.opow_le_iff_le_logproof · cited by 8
- Ordinal.opow_lt_opow_iff_rightproof · cited by 8
- Ordinal.right_le_opowproof · cited by 4
- Ordinal.opow_mulproof · cited by 4
- Ordinal.veblen_veblen_of_ltproof · cited by 4
- Ordinal.veblen_zero_strictMonoproof · cited by 4
- Ordinal.opow_le_opow_iff_rightproof · cited by 3
- Ordinal.veblen_lt_veblen_iff_rightproof · cited by 3
- Ordinal.veblen_posproof · cited by 3
- Ordinal.card_opow_le_of_omega0_le_leftproof · cited by 3
- Ordinal.isNormal_veblen_zeroproof · cited by 2