Theorems · Theorem · general topology
Continuous.matrix_conjTranspose
∀ {X : Type u_1} {m : Type u_4} {n : Type u_5} {R : Type u_8} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace R]
[inst_2 : Star R] [ContinuousStar R] {A : X → Matrix m n R}, Continuous A → Continuous fun x => (A x).conjTranspose- Defined in
- Mathlib.Topology.Instances.Matrix
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Matrixstatement and proof · cited by 4,303
- Continuousstatement and proof · cited by 2,592
- ContinuousStarstatement and proof · cited by 543
- Starstatement and proof · cited by 496
- Matrix.conjTransposestatement · cited by 202
- ContinuousStar.continuous_starproof · cited by 17
- Continuous.matrix_transposeproof · cited by 5
- Continuous.matrix_mapproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- HasSum.matrix_conjTransposeproof · cited by 1
- summable_matrix_conjTransposeproof · cited by 0
- Matrix.conjTranspose_tsumproof · cited by 0