Theorems · Theorem · logic and foundations
Ordinal.isNormal_mul_right
∀ {a : Ordinal.{u_4}}, 0 < a → Order.IsNormal fun x => a * x- Defined in
- Mathlib.SetTheory.Ordinal.Arithmetic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- add_zeroproof · cited by 2,707
- LT.lt.leproof · cited by 2,189
- Ordinalstatement and proof · cited by 1,688
- Set.Iioproof · cited by 1,166
- Order.IsSuccLimitproof · cited by 255
- Order.IsNormalstatement · cited by 118
- Order.succ_eq_add_oneproof · cited by 115
- mul_le_mul_rightproof · cited by 47
- add_lt_add_iff_leftproof · cited by 30
- mul_add_oneproof · cited by 19
- Order.IsNormal.of_succ_ltproof · cited by 4
Cited by14
Results whose statement or proof uses this declaration.
- Ordinal.opow_addproof · cited by 9
- Ordinal.isSuccLimit_mul_rightproof · cited by 5
- Ordinal.opow_mulproof · cited by 4
- Ordinal.isPrincipal_mul_iff_mul_left_eqproof · cited by 3
- Ordinal.mul_div_gcproof · cited by 2
- Ordinal.nfp_mul_opow_omega0_addproof · cited by 1
- Ordinal.mul_lt_omega0_opowproof · cited by 1
- Ordinal.mul_sSupproof · cited by 1
- Ordinal.eq_zero_or_opow_omega0_le_of_mul_eq_rightproof · cited by 1
- Ordinal.nfp_mul_eq_opow_omega0proof · cited by 0
- Ordinal.mul_eq_opow_log_succproof · cited by 0
- Ordinal.cof_mulproof · cited by 0