Theorems · Theorem · real analysis
Real.rpow_le_one_of_one_le_of_nonpos
∀ {x z : ℝ}, 1 ≤ x → z ≤ 0 → x ^ z ≤ 1- Cited by
- 4 results in Mathlib
- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.rpow_zeroproof · cited by 69
- Real.rpow_le_rpow_of_exponent_leproof · cited by 32
Cited by4
Results whose statement or proof uses this declaration.
- Complex.HadamardThreeLines.F_BddAboveproof · cited by 1
- NNReal.rpow_le_one_of_one_le_of_nonposproof · cited by 1
- NumberField.Set.primeIdealZetaSum_le_card_of_finiteproof · cited by 0
- TemperedDistribution.MemSobolev.monoproof · cited by 0