Theorems · Theorem · general topology
summable_matrix_transpose
∀ {X : Type u_1} {m : Type u_4} {n : Type u_5} {R : Type u_8} [inst : AddCommMonoid R] [inst_1 : TopologicalSpace R]
{L : SummationFilter X} {f : X → Matrix m n R}, Summable (fun x => (f x).transpose) L ↔ Summable f L- Defined in
- Mathlib.Topology.Instances.Matrix
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
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
- AddCommMonoidstatement and proof · cited by 12,281
- Matrixstatement and proof · cited by 4,303
- Summablestatement · cited by 778
- SummationFilterstatement and proof · cited by 607
- Matrix.transposestatement · cited by 389
- continuous_idproof · cited by 192
- Matrix.transposeAddEquivproof · cited by 11
- Continuous.matrix_transposeproof · cited by 5
- Summable.map_iff_of_equivproof · cited by 2
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