Theorems · Theorem · nonassociative algebras
LieAlgebra.Orthogonal.pso_inv
∀ (p : Type u_2) (q : Type u_3) (R : Type u₂) [inst : DecidableEq p] [inst_1 : DecidableEq q] [inst_2 : CommRing R]
[inst_3 : Fintype p] [inst_4 : Fintype q] {i : R},
i * i = -1 → LieAlgebra.Orthogonal.Pso p q R i * LieAlgebra.Orthogonal.Pso p q R (-i) = 1- Defined in
- Mathlib.Algebra.Lie.Classical
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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 · cited by 4,303
- mul_oneproof · cited by 3,885
- MulZeroClass.zero_mulproof · cited by 1,625
- neg_negproof · cited by 960
- mul_negproof · cited by 590
- neg_zeroproof · cited by 542
- Matrix.extproof · cited by 540
- Matrix.diagonalproof · cited by 314
- LieRing.ofAssociativeRingstatement · cited by 227
- Matrix.diagonal_apply_eqproof · cited by 64
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.Orthogonal.invertiblePsoproof · cited by 2