Theorems · Theorem · real analysis
Real.rpow_intCast
∀ (x : ℝ) (n : ℤ), x ^ ↑n = x ^ n
- Cited by
- 35 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.
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
- Complex.ofRealproof · cited by 1,654
- Complex.reproof · cited by 882
- Complex.cpow_intCastproof · cited by 4
Cited by35
Results whose statement or proof uses this declaration.
- Real.rpow_natCastproof · cited by 93
- Real.rpow_neg_natCastproof · cited by 5
- ZLattice.summable_norm_sub_zpowproof · cited by 4
- EisensteinSeries.summable_norm_eisSummandproof · cited by 4
- SchwartzMap.isBigO_cocompact_rpowproof · cited by 3
- Real.floor_logb_natCastproof · cited by 2
- UpperHalfPlane.IsZeroAtImInfty.petersson_exp_decay_leftproof · cited by 2
- Real.ceil_logb_natCastproof · cited by 1
- EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyproof · cited by 1
- isLittleO_zpow_exp_pos_mul_atTopproof · cited by 1
- ModularForm.hasSum_Λproof · cited by 1
- ModularFormClass.exists_petersson_leproof · cited by 1