Theorems · Theorem · real analysis
ENNReal.rpow_sub
∀ {x : ENNReal} (y z : ℝ), x ≠ 0 → x ≠ ⊤ → x ^ (y - z) = x ^ y / x ^ z- Cited by
- 3 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ENNRealstatement and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- sub_eq_add_negproof · cited by 1,023
- div_eq_mul_invproof · cited by 715
- ENNReal.rpow_negproof · cited by 6
- ENNReal.rpow_addproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.hausdorffMeasure_zero_or_topproof · cited by 3
- ENNReal.rpow_add_le_mul_rpow_add_rpowproof · cited by 3
- MeasureTheory.eLpNorm_le_eLpNorm_fderiv_of_eq_innerproof · cited by 1