Theorems · Theorem · ring theory
Quaternion.coe_mul_eq_smul
∀ {R : Type u_3} [inst : CommRing R] (r : R) (a : Quaternion R), ↑r * a = r • a- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Quaternionstatement and proof · cited by 206
- Quaternion.coestatement · cited by 68
- QuaternionAlgebra.coe_mul_eq_smulproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- Quaternion.exp_eqproof · cited by 3
- Quaternion.expSeries_even_of_imaginaryproof · cited by 1
- Quaternion.expSeries_odd_of_imaginaryproof · cited by 1
- Quaternion.normSq_expproof · cited by 1