Theorems · Definition · ring theory
Quaternion.normSq
{R : Type u_3} → [inst : CommRing R] → Quaternion R →*₀ RSquare of the norm.
- Defined in
- Mathlib.Algebra.Quaternion
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, 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
- Star.starproof · cited by 1,082
- MonoidWithZeroHomstatement · cited by 704
- Quaternionstatement and proof · cited by 206
- QuaternionAlgebra.reproof · cited by 117
Cited by31
Results whose statement or proof uses this declaration.
- Quaternion.normSq_coestatement · cited by 5
- Quaternion.normSq_def'statement · cited by 5
- Quaternion.inner_selfstatement · cited by 4
- Quaternion.normSq_eq_norm_mul_selfstatement · cited by 3
- Quaternion.sq_eq_neg_normSqstatement and proof · cited by 2
- Quaternion.star_mul_selfstatement and proof · cited by 2
- Quaternion.normSq_defstatement · cited by 2
- Quaternion.normSq_eq_zerostatement and proof · cited by 2
- Quaternion.self_mul_starstatement and proof · cited by 1
- Quaternion.expSeries_even_of_imaginaryproof · cited by 1
- Quaternion.expSeries_odd_of_imaginaryproof · cited by 1
- Quaternion.normSq_addstatement and proof · cited by 1