Theorems · Definition · number theory

AbstractMeasure.prodMk

{X : Type u_1} →
  {Y : Type u_2} →
    {R : Type u_3} →
      [inst : TopologicalSpace X] →
        [inst_1 : TopologicalSpace Y] →
          [inst_2 : CommRing R] →
            [inst_3 : TopologicalSpace R] →
              [inst_4 : IsTopologicalRing R] →
                [LocallyCompactSpace X] →
                  [LocallyCompactSpace Y] →
                    AbstractMeasure X R R →ₗ[R] AbstractMeasure Y R R →ₗ[R] AbstractMeasure (X × Y) R R

"Left-handed" version of the natural product map on measures (acting on functions as first integrating along X, and then integrating the result along Y).

Defined in

Mathlib.NumberTheory.Padics.Measure.Basic

Cited by

5 results in Mathlib

Foundations

Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceCommRingTopologicalSpaceIsTopologicalRingLocallyCompactSpaceLocallyCompactSpace