Theorems · Theorem · real analysis
Real.one_lt_rpow
∀ {x z : ℝ}, 1 < x → 0 < z → 1 < x ^ z- Cited by
- 3 results in Mathlib
- Foundations
- Depth 197 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- zero_le_oneproof · cited by 316
- Real.one_rpowproof · cited by 26
- Real.rpow_lt_rpowproof · cited by 12
Cited by3
Results whose statement or proof uses this declaration.
- NNReal.one_lt_rpowproof · cited by 1
- spectralValue_le_one_iffproof · cited by 0
- Rat.AbsoluteValue.not_real_isEquiv_padicproof · cited by 0