Theorems · Theorem · logic and foundations
Ordinal.opow_mul
∀ (a b c : Ordinal.{u_1}), a ^ (b * c) = (a ^ b) ^ c- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulZeroClass.mul_zeroproof · cited by 2,091
- Ordinalstatement and proof · cited by 1,688
- MulZeroClass.zero_mulproof · cited by 1,625
- LT.lt.ne'proof · cited by 1,417
- eq_or_neproof · cited by 1,117
- Order.IsSuccLimitproof · cited by 255
- LE.le.eq_or_ltproof · cited by 220
- eq_of_forall_ge_iffproof · cited by 96
- eq_zero_or_posproof · cited by 54
- Ordinal.opow_zeroproof · cited by 38
- Ordinal.isNormal_opowproof · cited by 37
- Order.one_le_iff_ne_zeroproof · cited by 32
Cited by4
Results whose statement or proof uses this declaration.
- ONote.repr_opow_aux₁proof · cited by 1
- ONote.repr_opow_aux₂proof · cited by 1
- Ordinal.isPrincipal_add_opow_of_isPrincipal_addproof · cited by 1
- ONote.repr_opowproof · cited by 1