Theorems · Theorem · nonassociative algebras
LieAlgebra.SpecialLinear.val_single
∀ {n : Type u_1} {R : Type u₂} [inst : CommRing R] [inst_1 : DecidableEq n] [inst_2 : Fintype n] (i j : n) (h : i ≠ j)
(r : R), ↑((LieAlgebra.SpecialLinear.single i j h) r) = Matrix.single i j r- Defined in
- Mathlib.Algebra.Lie.Classical
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingDecidableEqFintype
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- DFunLike.coestatement · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Fintypestatement and proof · cited by 7,736
- Matrixstatement · cited by 4,303
- LieSubalgebrastatement · cited by 418
- LieRing.ofAssociativeRingstatement · cited by 227
- Matrix.singlestatement · cited by 129
- LieAlgebra.SpecialLinear.slstatement · cited by 8
- LieAlgebra.SpecialLinear.singlestatement · cited by 3
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