Theorems · Theorem · ring theory
QuaternionAlgebra.coe_sub
∀ {R : Type u_3} {c₁ c₂ c₃ : R} (x y : R) [inst : CommRing R], ↑(x - y) = ↑x - ↑y- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Algebra.algebraMapproof · cited by 4,706
- QuaternionAlgebrastatement and proof · cited by 174
- QuaternionAlgebra.coestatement · cited by 46
- RingHom.map_subproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- Quaternion.coe_subproof · cited by 0