Theorems · Theorem · field theory
Complex.div_ofNat_re
∀ (z : ℂ) (n : ℕ) [inst : n.AtLeastTwo], (z / OfNat.ofNat n).re = z.re / OfNat.ofNat n
- Defined in
- Mathlib.Data.Complex.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 115 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Complexstatement and proof · cited by 5,565
- Complex.restatement · cited by 882
- Nat.AtLeastTwostatement and proof · cited by 405
- Complex.div_natCast_reproof · cited by 2
Cited by7
Results whose statement or proof uses this declaration.
- Complex.Gammaℝ_ne_zero_of_re_posproof · cited by 5
- hasSum_mellin_pi_mul_sqproof · cited by 3
- HurwitzZeta.hasSum_int_completedCosZetaproof · cited by 2
- Function.Periodic.im_invQParamproof · cited by 2
- HurwitzZeta.hasSum_int_completedHurwitzZetaEvenproof · cited by 1
- ProbabilityTheory.gaussian_charFunDual_congrproof · cited by 1
- Complex.continuousAt_sqrtproof · cited by 1