Theorems · Theorem · ring theory
Quaternion.coeComplex_add
∀ (z w : ℂ), ↑(z + w) = ↑z + ↑w
- Defined in
- Mathlib.Analysis.Quaternion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- add_zeroproof · cited by 2,707
- Complex.reproof · cited by 882
- Complex.improof · cited by 591
- Quaternionstatement · cited by 206
- Quaternion.coeComplexstatement and proof · cited by 11
- Quaternion.extproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Quaternion.ofComplexproof · cited by 1