Theorems · Theorem · real analysis
Real.continuous_rpow_const
∀ {q : ℝ}, 0 ≤ q → Continuous fun x => x ^ q- Cited by
- 8 results in Mathlib
- Foundations
- Depth 205 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
- Continuousstatement · cited by 2,592
- continuous_iff_continuousAtproof · cited by 139
- Real.continuousAt_rpow_constproof · cited by 8
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.MemLp.condExpproof · cited by 3
- ProbabilityTheory.integrable_rpow_mul_exp_of_integrable_exp_mulproof · cited by 3
- Integrable.norm_condExp_rpow_leproof · cited by 3
- ProbabilityTheory.integrable_rpow_abs_mul_exp_add_of_integrable_exp_mulproof · cited by 2
- Real.continuousOn_rpowIntegrand₁₂_uncurryproof · cited by 1
- MeasureTheory.integral_comp_rpow_Ioi_of_pos'proof · cited by 0