Theorems · Definition · ring theory
Quaternion.coe
{R : Type u_3} → [inst : CommRing R] → R → Quaternion RCoercion R → ℍ[R].
- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 68 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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 · cited by 206
- QuaternionAlgebra.coeproof · cited by 46
Cited by68
Results whose statement or proof uses this declaration.
- Quaternion.coe_mulstatement · cited by 5
- Quaternion.normSq_coestatement and proof · cited by 5
- Quaternion.coe_mul_eq_smulstatement · cited by 4
- Quaternion.re_coestatement · cited by 4
- Quaternion.coe_powstatement · cited by 3
- Quaternion.exp_eqstatement · cited by 3
- Quaternion.sq_eq_neg_normSqstatement and proof · cited by 2
- Quaternion.star_mul_selfstatement and proof · cited by 2
- Quaternion.coe_negstatement · cited by 2
- Quaternion.self_add_star'statement · cited by 1
- Quaternion.self_mul_starstatement and proof · cited by 1
- Quaternion.star_coestatement · cited by 1