		Search-engine friendly clone of the ACL2 documentation.

Svtv-to-fsm-defs

Svar/4vec-eval

Signature
(svar/4vec-eval x env) → val
Arguments: x — Guard (svar/4vec-p x).; env — Guard (svex-env-p env).
Returns: val — Type (4vec-p val).

Definitions and Theorems

Function: svar/4vec-eval

(defun svar/4vec-eval (x env)
  (declare (xargs :guard (and (svar/4vec-p x) (svex-env-p env))))
  (let ((__function__ 'svar/4vec-eval))
    (declare (ignorable __function__))
    (svar/4vec-case x
                    :4vec (4vec-fix x)
                    :svar (svex-env-lookup x env))))

Theorem: 4vec-p-of-svar/4vec-eval

(defthm 4vec-p-of-svar/4vec-eval
  (b* ((val (svar/4vec-eval x env)))
    (4vec-p val))
  :rule-classes :rewrite)

Theorem: svar/4vec-eval-in-terms-of-svex-eval

(defthm svar/4vec-eval-in-terms-of-svex-eval
  (implies (not (svex-case x :call))
           (equal (svar/4vec-eval x env)
                  (svex-eval x env))))

Theorem: svar/4vec-eval-of-quote

(defthm svar/4vec-eval-of-quote
  (implies (syntaxp (quotep x))
           (equal (svar/4vec-eval x env)
                  (svar/4vec-case x
                                  :4vec (4vec-fix x)
                                  :svar (svex-env-lookup x env)))))

Theorem: svar/4vec-eval-of-svar/4vec-fix-x

(defthm svar/4vec-eval-of-svar/4vec-fix-x
  (equal (svar/4vec-eval (svar/4vec-fix x) env)
         (svar/4vec-eval x env)))

Theorem: svar/4vec-eval-svar/4vec-equiv-congruence-on-x

(defthm svar/4vec-eval-svar/4vec-equiv-congruence-on-x
  (implies (svar/4vec-equiv x x-equiv)
           (equal (svar/4vec-eval x env)
                  (svar/4vec-eval x-equiv env)))
  :rule-classes :congruence)

Theorem: svar/4vec-eval-of-svex-env-fix-env

(defthm svar/4vec-eval-of-svex-env-fix-env
  (equal (svar/4vec-eval x (svex-env-fix env))
         (svar/4vec-eval x env)))

Theorem: svar/4vec-eval-svex-env-equiv-congruence-on-env

(defthm svar/4vec-eval-svex-env-equiv-congruence-on-env
  (implies (svex-env-equiv env env-equiv)
           (equal (svar/4vec-eval x env)
                  (svar/4vec-eval x env-equiv)))
  :rule-classes :congruence)