Theorems · Theorem · real analysis
Complex.inv_natCast_cpow_ofReal_pos
∀ {n : ℕ}, n ≠ 0 → ∀ (x : ℝ), 0 < (↑n ^ ↑x)⁻¹- Cited by
- 3 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.
Cites12
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
- Complexstatement and proof · cited by 5,565
- Complex.ofRealstatement and proof · cited by 1,654
- zero_leproof · cited by 382
- Nat.cast_nonneg'proof · cited by 245
- Nat.cast_pos'proof · cited by 219
- Real.rpow_pos_of_posproof · cited by 155
- lt_of_le_of_ne'proof · cited by 149
- Complex.partialOrderstatement · cited by 64
- Complex.ofReal_cpowproof · cited by 36
- Mathlib.Meta.Positivity.ofReal_posproof · cited by 4
- RCLike.inv_pos_of_posproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- LSeries.iteratedDeriv_alternatingproof · cited by 2
- LSeries.term_posproof · cited by 1
- LSeries.term_nonnegproof · cited by 1