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Intersections of restricted moment spaces

Lax342547.MomentIntersection · concepts/Lax342547/MomentIntersection.lean · lax-342547

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    Natural Language Statement

    Theorem

    Intersecting coordinate restrictions commutes with taking the span of Boolean point moments. This supplies the coordinate-projection step in Lemma 2.3, including infinite nonempty families of restrictions.

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    1import Lax342547.MomentSpace
    2
    3/-!
    4---
    5title: Intersections of restricted moment spaces
    6type: theorem
    7---
    8Intersecting coordinate restrictions commutes with taking the span of
    9Boolean point moments. This supplies the coordinate-projection step in
    10Lemma 2.3, including infinite nonempty families of restrictions.
    11-/
    12
    13namespace Lax342547.MomentIntersection
    14
    15open Lax342547.MomentSpace
    16
    17axiom momentSpace_iInter {Label Coord Base : Type}
    18 (p : Label → Coord → Binary) {Tag : Type} [Nonempty Tag] (A : Tag → Set Base) :
    19 momentSpace p (⋂ t, A t) = ⨅ t, momentSpace p (A t)
    20
    21end Lax342547.MomentIntersection
    22
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