Theorems · Theorem · logic and foundations
Ordinal.one_lt_pow
∀ {a : Ordinal.{u_1}} {n : ℕ}, 1 < a ^ n ↔ 1 < a ∧ n ≠ 0- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Ordinalstatement and proof · cited by 1,688
- Ordinal.opow_natCastproof · cited by 11
- Ordinal.one_lt_opowproof · cited by 1
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