Theorems · Theorem · real analysis
ENNReal.zpow_le_of_le
∀ {x : ENNReal}, 1 ≤ x → ∀ {a b : ℤ}, a ≤ b → x ^ a ≤ x ^ b- Defined in
- Mathlib.Data.ENNReal.Inv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- LE.le.transproof · cited by 3,151
- lt_of_lt_of_leproof · cited by 438
- zpow_natCastproof · cited by 271
- not_le_of_gtproof · cited by 97
- zpow_negSuccproof · cited by 92
- pow_right_mono₀proof · cited by 19
- one_le_pow_of_one_le'proof · cited by 6
- ENNReal.inv_le_oneproof · cited by 3
- Int.le_of_ofNat_le_ofNatproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- measure_eq_measure_preimage_add_measure_tsum_Ico_zpowproof · cited by 2
- ENNReal.monotone_zpowproof · cited by 0