Theorems · Theorem · nonassociative algebras
LieAlgebra.Orthogonal.pb_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.PB l R * Matrix.fromBlocks 1 0 0 ⅟(LieAlgebra.Orthogonal.PD l R) = 1
- Defined in
- Mathlib.Algebra.Lie.Classical
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
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
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Invertiblestatement and proof · cited by 549
- Invertible.invOfstatement and proof · cited by 268
- Matrix.fromBlocksstatement and proof · cited by 108
- Matrix.mul_oneproof · cited by 45
- mul_invOf_selfproof · cited by 28
- Matrix.zero_mulproof · cited by 16
- Matrix.mul_zeroproof · cited by 14
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