Theorems · Theorem · general topology
Continuous.matrix_adjugate
∀ {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).adjugate- Defined in
- Mathlib.Topology.Instances.Matrix
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Continuousstatement and proof · cited by 2,592
- IsTopologicalRingstatement and proof · cited by 402
- continuous_constproof · cited by 278
- Matrix.adjugatestatement · cited by 64
- continuous_matrixproof · cited by 17
- Continuous.matrix_detproof · cited by 7
- Continuous.matrix_transposeproof · cited by 5
- Continuous.matrix_updateColproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- continuousAt_matrix_invproof · cited by 0