Theorems · Theorem · linear algebra
Matrix.swap_comm
∀ {R : Type u_1} {n : Type u_2} [inst : Zero R] [inst_1 : One R] [inst_2 : DecidableEq n] (i j : n),
Matrix.swap R i j = Matrix.swap R j i- Defined in
- Mathlib.LinearAlgebra.Matrix.Swap
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroOneDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement · cited by 4,303
- Equiv.swapproof · cited by 197
- Equiv.Perm.permMatrixproof · cited by 25
- Matrix.swapstatement · cited by 19
- Equiv.swap_commproof · cited by 11
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.mul_swap_apply_rightproof · cited by 0
- Matrix.swap_mul_apply_rightproof · cited by 0