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• Svex-alist

Svex-fastacons

Like hons-acons, but with proper fty-discipline for svex-alists.

Signature

(svex-fastacons var v a) → *

Arguments

var — Guard (svar-p var).

v — Guard (svex-p v).

a — Guard (svex-alist-p a).

Definitions and Theorems

Function: svex-fastacons$inline

(defun svex-fastacons$inline (var v a)
  (declare (xargs :guard (and (svar-p var)
                              (svex-p v)
                              (svex-alist-p a))))
  (let ((__function__ 'svex-fastacons))
    (declare (ignorable __function__))
    (mbe :logic (svex-acons var v a)
         :exec (hons-acons var v a))))

Theorem: svex-fastacons$inline-of-svar-fix-var

(defthm svex-fastacons$inline-of-svar-fix-var
  (equal (svex-fastacons$inline (svar-fix var)
                                v a)
         (svex-fastacons$inline var v a)))

Theorem: svex-fastacons$inline-svar-equiv-congruence-on-var

(defthm svex-fastacons$inline-svar-equiv-congruence-on-var
  (implies (svar-equiv var var-equiv)
           (equal (svex-fastacons$inline var v a)
                  (svex-fastacons$inline var-equiv v a)))
  :rule-classes :congruence)

Theorem: svex-fastacons$inline-of-svex-fix-v

(defthm svex-fastacons$inline-of-svex-fix-v
  (equal (svex-fastacons$inline var (svex-fix v)
                                a)
         (svex-fastacons$inline var v a)))

Theorem: svex-fastacons$inline-svex-equiv-congruence-on-v

(defthm svex-fastacons$inline-svex-equiv-congruence-on-v
  (implies (svex-equiv v v-equiv)
           (equal (svex-fastacons$inline var v a)
                  (svex-fastacons$inline var v-equiv a)))
  :rule-classes :congruence)

Theorem: svex-fastacons$inline-of-svex-alist-fix-a

(defthm svex-fastacons$inline-of-svex-alist-fix-a
  (equal (svex-fastacons$inline var v (svex-alist-fix a))
         (svex-fastacons$inline var v a)))

Theorem: svex-fastacons$inline-svex-alist-equiv-congruence-on-a

(defthm svex-fastacons$inline-svex-alist-equiv-congruence-on-a
  (implies (svex-alist-equiv a a-equiv)
           (equal (svex-fastacons$inline var v a)
                  (svex-fastacons$inline var v a-equiv)))
  :rule-classes :congruence)