Theorems · Theorem · ring theory
Quaternion.re_coe
∀ {R : Type u_3} [inst : CommRing R] (x : R), (↑x).re = x- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 14 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
- QuaternionAlgebra.restatement · cited by 117
- Quaternion.coestatement · cited by 68
Cited by4
Results whose statement or proof uses this declaration.
- Quaternion.normSq_coeproof · cited by 5
- Quaternion.normSq_addproof · cited by 1
- Quaternion.tsum_coeproof · cited by 0
- Quaternion.summable_coeproof · cited by 0