Theorems · Theorem · number theory
GaussianInt.intCast_re
∀ (x : GaussianInt), ↑x.re = (GaussianInt.toComplex x).re
- Defined in
- Mathlib.NumberTheory.Zsqrtd.GaussianInt
- Cited by
- 3 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.
Cites15
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
- MulZeroClass.mul_zeroproof · cited by 2,091
- sub_selfproof · cited by 996
- Complex.restatement · cited by 882
- Complex.Iproof · cited by 866
- Complex.mul_reproof · cited by 115
- Zsqrtd.improof · cited by 54
Cited by3
Results whose statement or proof uses this declaration.
- GaussianInt.intCast_real_normproof · cited by 4
- GaussianInt.toComplex_re_divproof · cited by 1
- GaussianInt.toComplex_im_divproof · cited by 1