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Vl-design-downgraph

Graph of downward dependencies. Fast alist.

Signature

(vl-design-downgraph x) → graph

Arguments

x — Guard (vl-design-p x).

Returns

graph — Maps, e.g., modules to submodules.
    Type (vl-depgraph-p graph).

Definitions and Theorems

Function: vl-design-downgraph

(defun vl-design-downgraph (x)
  (declare (xargs :guard (vl-design-p x)))
  (let ((__function__ 'vl-design-downgraph))
    (declare (ignorable __function__))
    (b* (((vl-immdepgraph graph)
          (vl-design-immdeps x)))
      (make-fast-alist graph.deps))))

Theorem: vl-depgraph-p-of-vl-design-downgraph

(defthm vl-depgraph-p-of-vl-design-downgraph
  (b* ((graph (vl-design-downgraph x)))
    (vl-depgraph-p graph))
  :rule-classes :rewrite)

Theorem: alist-values-are-sets-p-of-vl-design-downgraph

(defthm alist-values-are-sets-p-of-vl-design-downgraph
  (b* ((graph (vl-design-downgraph x)))
    (depgraph::alist-values-are-sets-p graph))
  :rule-classes :rewrite)

Theorem: vl-design-downgraph-of-vl-design-fix-x

(defthm vl-design-downgraph-of-vl-design-fix-x
  (equal (vl-design-downgraph (vl-design-fix x))
         (vl-design-downgraph x)))

Theorem: vl-design-downgraph-vl-design-equiv-congruence-on-x

(defthm vl-design-downgraph-vl-design-equiv-congruence-on-x
  (implies (vl-design-equiv x x-equiv)
           (equal (vl-design-downgraph x)
                  (vl-design-downgraph x-equiv)))
  :rule-classes :congruence)