Theorems · Theorem · linear algebra

Matrix.equiv_block_det

∀ {m : Type u_3} {R : Type v} [inst : CommRing R] [inst_1 : DecidableEq m] [inst_2 : Fintype m] (M : Matrix m m R)
  {p q : m → Prop} [inst_3 : DecidablePred p] [inst_4 : DecidablePred q],
  (∀ (x : m), q x ↔ p x) → (M.toSquareBlockProp p).det = (M.toSquareBlockProp q).det

Defined in

Mathlib.LinearAlgebra.Matrix.Block

Cited by

1 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingDecidableEqFintypeDecidablePredDecidablePred