Theorems · Theorem · logic and foundations
Ordinal.opow_one
∀ (a : Ordinal.{u_1}), a ^ 1 = a- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- one_mulproof · cited by 2,841
- zero_addproof · cited by 2,366
- Ordinalstatement and proof · cited by 1,688
- Ordinal.opow_zeroproof · cited by 38
- Ordinal.opow_add_oneproof · cited by 9
Cited by14
Results whose statement or proof uses this declaration.
- Ordinal.lt_opow_succ_log_selfproof · cited by 5
- Ordinal.log_eq_zeroproof · cited by 3
- Ordinal.opow_one_addproof · cited by 3
- ONote.nf_repr_splitproof · cited by 2
- Ordinal.omega0_lt_epsilonproof · cited by 2
- Ordinal.left_le_opowproof · cited by 2
- Ordinal.left_lt_opowproof · cited by 2
- ONote.split_dvdproof · cited by 2
- ONote.NF.of_dvd_omega0proof · cited by 2
- ONote.repr_opowproof · cited by 1
- ONote.repr_opow_aux₂proof · cited by 1
- ONote.split_add_ltproof · cited by 1