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• Sv::vl-expr.lisp

Vl-seltrace-type

Signature

(vl-seltrace-type x base-type) → type

Arguments

x — Guard (vl-seltrace-p x).

base-type — Guard (vl-datatype-p base-type).

Returns

type — Type (vl-datatype-p type).

Definitions and Theorems

Function: vl-seltrace-type

(defun vl-seltrace-type (x base-type)
  (declare (xargs :guard (and (vl-seltrace-p x)
                              (vl-datatype-p base-type))))
  (declare (xargs :guard (and (vl-seltrace-usertypes-ok x)
                              (vl-datatype-resolved-p base-type))))
  (let ((__function__ 'vl-seltrace-type))
    (declare (ignorable __function__))
    (if (consp x)
        (b* (((vl-selstep sel) (car x)))
          sel.type)
      (vl-datatype-fix base-type))))

Theorem: vl-datatype-p-of-vl-seltrace-type

(defthm vl-datatype-p-of-vl-seltrace-type
  (b* ((type (vl-seltrace-type x base-type)))
    (vl-datatype-p type))
  :rule-classes :rewrite)

Theorem: usertypes-ok-of-vl-seltrace-type/ss

(defthm usertypes-ok-of-vl-seltrace-type/ss
  (b* ((common-lisp::?type (vl-seltrace-type x base-type)))
    (implies (and (vl-seltrace-usertypes-ok x)
                  (vl-datatype-resolved-p base-type))
             (vl-datatype-resolved-p type))))

Theorem: vl-seltrace-type-of-vl-seltrace-fix-x

(defthm vl-seltrace-type-of-vl-seltrace-fix-x
  (equal (vl-seltrace-type (vl-seltrace-fix x)
                           base-type)
         (vl-seltrace-type x base-type)))

Theorem: vl-seltrace-type-vl-seltrace-equiv-congruence-on-x

(defthm vl-seltrace-type-vl-seltrace-equiv-congruence-on-x
  (implies (vl-seltrace-equiv x x-equiv)
           (equal (vl-seltrace-type x base-type)
                  (vl-seltrace-type x-equiv base-type)))
  :rule-classes :congruence)

Theorem: vl-seltrace-type-of-vl-datatype-fix-base-type

(defthm vl-seltrace-type-of-vl-datatype-fix-base-type
  (equal (vl-seltrace-type x (vl-datatype-fix base-type))
         (vl-seltrace-type x base-type)))

Theorem: vl-seltrace-type-vl-datatype-equiv-congruence-on-base-type

(defthm vl-seltrace-type-vl-datatype-equiv-congruence-on-base-type
  (implies (vl-datatype-equiv base-type base-type-equiv)
           (equal (vl-seltrace-type x base-type)
                  (vl-seltrace-type x base-type-equiv)))
  :rule-classes :congruence)