Theorems · Theorem · linear algebra
Matrix.GeneralLinearGroup.val_swap
∀ (R : Type u_1) {n : Type u_2} [inst : CommRing R] [inst_1 : DecidableEq n] [inst_2 : Fintype n] (i j : n),
↑(Matrix.GeneralLinearGroup.swap R i j) = Matrix.swap R i j- Defined in
- Mathlib.LinearAlgebra.Matrix.Swap
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingDecidableEqFintype
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Cites6
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
- Units.valstatement and proof · cited by 1,966
- Matrix.swapstatement · cited by 19
- Matrix.GeneralLinearGroup.swapstatement and proof · cited by 2
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