Theorems · Theorem · ring theory
Quaternion.normSq_neg
∀ {R : Type u_3} [inst : CommRing R] (a : Quaternion R), Quaternion.normSq (-a) = Quaternion.normSq a- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Star.starproof · cited by 1,082
- MonoidWithZeroHomstatement · cited by 704
- Quaternionstatement and proof · cited by 206
- QuaternionAlgebra.reproof · cited by 117
- neg_mul_negproof · cited by 32
- Quaternion.normSqstatement · cited by 31
- star_negproof · cited by 8
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