Theorems · Theorem · field theory
Complex.ofReal_ofNat
∀ (n : ℕ) [inst : n.AtLeastTwo], ↑(OfNat.ofNat n) = OfNat.ofNat n
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nat.AtLeastTwo
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 · cited by 25,697
- Complexstatement · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- Nat.AtLeastTwostatement and proof · cited by 405
Cited by14
Results whose statement or proof uses this declaration.
- Complex.cpow_inv_two_reproof · cited by 6
- Complex.cpow_inv_two_im_eq_sqrtproof · cited by 4
- Complex.Gamma_one_half_eqproof · cited by 3
- Complex.norm_eq_one_iff'proof · cited by 2
- HurwitzZeta.differentiableAt_completedHurwitzZetaEvenproof · cited by 2
- Complex.cpow_inv_two_im_eq_neg_sqrtproof · cited by 2
- integral_gaussian_complexproof · cited by 2
- Complex.hasDerivAt_Gammaℝ_oneproof · cited by 1
- Complex.Gammaℝ_mul_Gammaℝ_add_oneproof · cited by 1
- HurwitzZeta.hurwitzZetaOdd_neg_two_mul_natproof · cited by 0
- HurwitzZeta.evenKernel_functional_equationproof · cited by 0
- Function.Periodic.norm_qParam_le_of_one_half_le_improof · cited by 0