Theorems · Theorem · nonassociative algebras
LieAlgebra.Orthogonal.pd_inv
∀ (l : Type u_4) (R : Type u₂) [inst : DecidableEq l] [inst_1 : CommRing R] [inst_2 : Fintype l] [inst_3 : Invertible 2], LieAlgebra.Orthogonal.PD l R * ⅟2 • (LieAlgebra.Orthogonal.PD l R).transpose = 1
- Defined in
- Mathlib.Algebra.Lie.Classical
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites20
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
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- mul_oneproof · cited by 3,885
- neg_negproof · cited by 960
- mul_negproof · cited by 590
- Invertiblestatement and proof · cited by 549
- Matrix.transposestatement and proof · cited by 389
- Invertible.invOfstatement and proof · cited by 268
- add_neg_cancelproof · cited by 213
- smul_negproof · cited by 181
- Matrix.fromBlocksproof · cited by 108
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