Theorems · Theorem · ring theory
Quaternion.inner_self
∀ (a : Quaternion ℝ), inner ℝ a a = Quaternion.normSq a
- Defined in
- Mathlib.Analysis.Quaternion
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Realstatement and proof · cited by 25,697
- Inner.innerstatement · cited by 1,089
- MonoidWithZeroHomstatement · cited by 704
- Quaternionstatement and proof · cited by 206
- Quaternion.normSqstatement · cited by 31
Cited by4
Results whose statement or proof uses this declaration.
- Quaternion.normSq_eq_norm_mul_selfproof · cited by 3
- Quaternion.norm_coeproof · cited by 1
- Quaternion.norm_expproof · cited by 0
- Quaternion.norm_toLp_equivTupleproof · cited by 0