Theorems · Theorem · nonassociative algebras
LieAlgebra.Orthogonal.indefiniteDiagonal_assoc
∀ (l : Type u_4) (R : Type u₂) [inst : DecidableEq l] [inst_1 : CommRing R] [inst_2 : Fintype l],
LieAlgebra.Orthogonal.indefiniteDiagonal (Unit ⊕ l) l R =
(Matrix.reindexLieEquiv (Equiv.sumAssoc Unit l l).symm)
(Matrix.fromBlocks 1 0 0 (LieAlgebra.Orthogonal.indefiniteDiagonal l l R))- Defined in
- Mathlib.Algebra.Lie.Classical
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqCommRingFintype
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- Equiv.symmstatement · cited by 3,681
- Matrix.extproof · cited by 540
- LieRing.ofAssociativeRingstatement · cited by 227
- Matrix.fromBlocksstatement · cited by 108
- LieEquivstatement · cited by 86
- Sum.inr_injectiveproof · cited by 40
- Sum.inl_injectiveproof · cited by 39
- Matrix.one_apply_eqproof · cited by 35
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