Theorems · Theorem · number theory
ENat.epow_right_mono
∀ {x : ℕ∞}, x ≠ 0 → Monotone fun y => x ^ y- Defined in
- Mathlib.Data.ENat.Pow
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 36 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.
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- le_reflproof · cited by 2,061
- Monotonestatement · cited by 1,397
- lt_trichotomyproof · cited by 178
- top_le_iffproof · cited by 175
- Nat.cast_leproof · cited by 159
- ENat.recTopCoeproof · cited by 75
- Order.one_le_iff_ne_zeroproof · cited by 32
- pow_right_mono₀proof · cited by 19
- Order.lt_one_iffproof · cited by 14
- ENat.one_epowproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- ENat.one_le_epowproof · cited by 2
- ENat.epow_mulproof · cited by 0
- ENat.epow_eq_one_iffproof · cited by 0