Theorems · Theorem · number theory
GaussianInt.im_toComplex
∀ (x y : ℤ), (GaussianInt.toComplex { re := x, im := y }).im = ↑y- Defined in
- Mathlib.NumberTheory.Zsqrtd.GaussianInt
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement · cited by 25,697
- RingHomstatement · cited by 10,189
- Complexstatement · cited by 5,565
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.Iproof · cited by 866
- Complex.imstatement · cited by 591
- Complex.mul_improof · cited by 107
- GaussianIntstatement · cited by 37
Cited by2
Results whose statement or proof uses this declaration.
- GaussianInt.toComplex_im_divproof · cited by 1
- GaussianInt.intCast_complex_normproof · cited by 0