Theorems · Theorem · general topology

Continuous.matrix_det

∀ {X : Type u_1} {n : Type u_5} {R : Type u_8} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace R]
  [inst_2 : Fintype n] [inst_3 : DecidableEq n] [inst_4 : CommRing R] [IsTopologicalRing R] {A : X → Matrix n n R},
  Continuous A → Continuous fun x => (A x).det

Defined in

Mathlib.Topology.Instances.Matrix

Cited by

7 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceFintypeDecidableEqCommRingIsTopologicalRing