Theorems · Theorem · linear algebra
imaginaryPart_ofReal
∀ (r : ℝ), imaginaryPart ↑r = 0
- Defined in
- Mathlib.LinearAlgebra.Complex.Module
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 115 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 and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- Complexstatement · cited by 5,565
- AddSubgroupstatement · cited by 3,232
- MulZeroClass.mul_zeroproof · cited by 2,091
- Complex.ofRealstatement and proof · cited by 1,654
- sub_selfproof · cited by 996
- Complex.Iproof · cited by 866
- smul_zeroproof · cited by 665
- selfAdjointstatement · cited by 135
Cited by1
Results whose statement or proof uses this declaration.
- Complex.coe_realPartproof · cited by 0