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• Scopesubst

Vl-maybe-paramvalue-scopesubst

Scopesubstitute into a vl-maybe-paramvalue-p.

Signature

(vl-maybe-paramvalue-scopesubst x ss) → new-x

Arguments

x — Guard (vl-maybe-paramvalue-p x).

ss — Guard (vl-scopestack-p ss).

Returns

new-x — Type (vl-maybe-paramvalue-p new-x).

Definitions and Theorems

Function: vl-maybe-paramvalue-scopesubst

(defun vl-maybe-paramvalue-scopesubst (x ss)
  (declare (xargs :guard (and (vl-maybe-paramvalue-p x)
                              (vl-scopestack-p ss))))
  (declare (ignorable x ss))
  (let ((__function__ 'vl-maybe-paramvalue-scopesubst))
    (declare (ignorable __function__))
    (and x (vl-paramvalue-scopesubst x ss))))

Theorem: vl-maybe-paramvalue-p-of-vl-maybe-paramvalue-scopesubst

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

Theorem: vl-maybe-paramvalue-scopesubst-of-vl-maybe-paramvalue-fix-x

(defthm vl-maybe-paramvalue-scopesubst-of-vl-maybe-paramvalue-fix-x
  (equal (vl-maybe-paramvalue-scopesubst (vl-maybe-paramvalue-fix x)
                                         ss)
         (vl-maybe-paramvalue-scopesubst x ss)))

Theorem: vl-maybe-paramvalue-scopesubst-vl-maybe-paramvalue-equiv-congruence-on-x

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

Theorem: vl-maybe-paramvalue-scopesubst-of-vl-scopestack-fix-ss

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

Theorem: vl-maybe-paramvalue-scopesubst-vl-scopestack-equiv-congruence-on-ss

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