Theorems · Theorem · ring theory
Quaternion.coe_real_complex_mul
∀ (r : ℝ) (z : ℂ), r • ↑z = ↑r * ↑z
- Defined in
- Mathlib.Analysis.Quaternion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Complexstatement and proof · cited by 5,565
- add_zeroproof · cited by 2,707
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- sub_selfproof · cited by 996
- sub_zeroproof · cited by 938
- Complex.reproof · cited by 882
- Complex.improof · cited by 591
- Quaternionstatement · cited by 206
- Quaternion.coestatement and proof · cited by 68
- Quaternion.coeComplexstatement and proof · cited by 11
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