		Search-engine friendly clone of the ACL2 documentation.

Scopesubst

Vl-gatedelay-scopesubst

Scopesubstitute into a vl-gatedelay-p.

Signature
(vl-gatedelay-scopesubst x ss) → new-x
Arguments: x — Guard (vl-gatedelay-p x).; ss — Guard (vl-scopestack-p ss).
Returns: new-x — Type (vl-gatedelay-p new-x).

Definitions and Theorems

Function: vl-gatedelay-scopesubst

(defun vl-gatedelay-scopesubst (x ss)
  (declare (xargs :guard (and (vl-gatedelay-p x)
                              (vl-scopestack-p ss))))
  (declare (ignorable x ss))
  (let ((__function__ 'vl-gatedelay-scopesubst))
    (declare (ignorable __function__))
    (change-vl-gatedelay
         x
         :rise (vl-expr-scopesubst (vl-gatedelay->rise x)
                                   ss)
         :fall (vl-expr-scopesubst (vl-gatedelay->fall x)
                                   ss)
         :high (vl-maybe-expr-scopesubst (vl-gatedelay->high x)
                                         ss))))

Theorem: vl-gatedelay-p-of-vl-gatedelay-scopesubst

(defthm vl-gatedelay-p-of-vl-gatedelay-scopesubst
  (b* ((new-x (vl-gatedelay-scopesubst x ss)))
    (vl-gatedelay-p new-x))
  :rule-classes :rewrite)

Theorem: vl-gatedelay-scopesubst-of-vl-gatedelay-fix-x

(defthm vl-gatedelay-scopesubst-of-vl-gatedelay-fix-x
  (equal (vl-gatedelay-scopesubst (vl-gatedelay-fix x)
                                  ss)
         (vl-gatedelay-scopesubst x ss)))

Theorem: vl-gatedelay-scopesubst-vl-gatedelay-equiv-congruence-on-x

(defthm vl-gatedelay-scopesubst-vl-gatedelay-equiv-congruence-on-x
  (implies (vl-gatedelay-equiv x x-equiv)
           (equal (vl-gatedelay-scopesubst x ss)
                  (vl-gatedelay-scopesubst x-equiv ss)))
  :rule-classes :congruence)

Theorem: vl-gatedelay-scopesubst-of-vl-scopestack-fix-ss

(defthm vl-gatedelay-scopesubst-of-vl-scopestack-fix-ss
  (equal (vl-gatedelay-scopesubst x (vl-scopestack-fix ss))
         (vl-gatedelay-scopesubst x ss)))

Theorem: vl-gatedelay-scopesubst-vl-scopestack-equiv-congruence-on-ss

(defthm vl-gatedelay-scopesubst-vl-scopestack-equiv-congruence-on-ss
  (implies (vl-scopestack-equiv ss ss-equiv)
           (equal (vl-gatedelay-scopesubst x ss)
                  (vl-gatedelay-scopesubst x ss-equiv)))
  :rule-classes :congruence)