Theorems · Theorem · linear algebra
Matrix.swap.congr_simp
∀ (R : Type u_1) {n : Type u_2} [inst : Zero R] [inst_1 : One R] {inst_2 : DecidableEq n} [inst_3 : DecidableEq n]
(i i_1 : n),
i = i_1 →
∀ (j j_1 : n),
j = j_1 →
∀ (a a_1 : n), a = a_1 → ∀ (a_2 a_3 : n), a_2 = a_3 → Matrix.swap R i j a a_2 = Matrix.swap R i_1 j_1 a_1 a_3- Defined in
- Mathlib.LinearAlgebra.Matrix.Swap
- Cited by
- 0 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.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrix.swapstatement and proof · cited by 19
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.