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• Value-map

Value-map-fix

(value-map-fix x) is a usual ACL2::fty omap fixing function.

Signature

(value-map-fix x) → *

Arguments

x — Guard (value-mapp x).

Definitions and Theorems

Theorem: value-mapp-of-value-map-fix

(defthm value-mapp-of-value-map-fix
  (value-mapp (value-map-fix x)))

Theorem: value-map-fix-when-value-mapp

(defthm value-map-fix-when-value-mapp
  (implies (value-mapp x)
           (equal (value-map-fix x) x)))

Theorem: emptyp-value-map-fix

(defthm emptyp-value-map-fix
  (implies (or (omap::emptyp x)
               (not (value-mapp x)))
           (omap::emptyp (value-map-fix x))))

Theorem: emptyp-of-value-map-fix-to-not-value-map-or-emptyp

(defthm emptyp-of-value-map-fix-to-not-value-map-or-emptyp
  (equal (omap::emptyp (value-map-fix x))
         (or (not (value-mapp x))
             (omap::emptyp x))))