Theorems · Theorem · number theory
ENat.epow_eq_one_iff
∀ {x y : ℕ∞}, x ^ y = 1 ↔ x = 1 ∨ y = 0- Defined in
- Mathlib.Data.ENat.Pow
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement and proof · cited by 4,985
- lt_trichotomyproof · cited by 178
- not_lt_of_geproof · cited by 52
- LT.lt.ne_zeroproof · cited by 34
- Order.one_le_iff_ne_zeroproof · cited by 32
- Order.lt_one_iffproof · cited by 14
- ENat.one_epowproof · cited by 7
- ENat.epow_zeroproof · cited by 6
- ENat.zero_epowproof · cited by 4
- ENat.epow_right_monoproof · cited by 3
- ENat.epow_oneproof · cited by 2
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