Mathlib Map

Theorems · Theorem · real analysis

Mathlib.Meta.NormNum.IsNNRat.rpow_isNNRat

∀ (a b : ℝ) (na da : ℕ),
  Mathlib.Meta.NormNum.IsNNRat a na da →
    ∀ (nr dr : ℕ),
      Mathlib.Meta.NormNum.IsNat (↑na ^ b) nr →
        Mathlib.Meta.NormNum.IsNat (↑da ^ b) dr → Mathlib.Meta.NormNum.IsNNRat (a ^ b) nr dr
Defined in
Mathlib.Analysis.SpecialFunctions.Pow.Real
Cited by
0 results in Mathlib
Foundations
Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Real · cited by 25697RealLT.lt.ne' · cited by 1417lt.ne'Real.rpow_pos_of_pos · cited by 155Real.rpow_pos_of_poslt_of_le_of_ne' · cited by 149lt_of_le_of_ne'Nat.cast_nonneg · cited by 109Nat.cast_nonnegReal.div_rpow · cited by 10Real.div_rpowIsNNRat.rpow_isNNRatCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.