Theorems · Definition · linear algebra
Matrix.GeneralLinearGroup.swap
(R : Type u_1) → {n : Type u_2} → [inst : CommRing R] → [inst_1 : DecidableEq n] → [inst_2 : Fintype n] → n → n → GL n RMatrix.swap as an element of GL n R.
- Defined in
- Mathlib.LinearAlgebra.Matrix.Swap
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingDecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Matrix.GeneralLinearGroupstatement · cited by 556
- Matrix.swapproof · cited by 19
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.GeneralLinearGroup.val_swapstatement and proof · cited by 0
- Matrix.GeneralLinearGroup.map_swapstatement · cited by 0