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Amb-declon/stmt

Amb-declon/stmt->declon

Get the declon field from a amb-declon/stmt.

Signature
(amb-declon/stmt->declon x) → declon
Arguments: x — Guard (amb-declon/stmt-p x).
Returns: declon — Type (declonp declon).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: amb-declon/stmt->declon$inline

(defun amb-declon/stmt->declon$inline (x)
  (declare (xargs :guard (amb-declon/stmt-p x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (declon-fix (car x)))
       :exec (car x)))

Theorem: declonp-of-amb-declon/stmt->declon

(defthm declonp-of-amb-declon/stmt->declon
  (b* ((declon (amb-declon/stmt->declon$inline x)))
    (declonp declon))
  :rule-classes :rewrite)

Theorem: amb-declon/stmt->declon$inline-of-amb-declon/stmt-fix-x

(defthm amb-declon/stmt->declon$inline-of-amb-declon/stmt-fix-x
  (equal (amb-declon/stmt->declon$inline (amb-declon/stmt-fix x))
         (amb-declon/stmt->declon$inline x)))

Theorem: amb-declon/stmt->declon$inline-amb-declon/stmt-equiv-congruence-on-x

(defthm
 amb-declon/stmt->declon$inline-amb-declon/stmt-equiv-congruence-on-x
 (implies (amb-declon/stmt-equiv x x-equiv)
          (equal (amb-declon/stmt->declon$inline x)
                 (amb-declon/stmt->declon$inline x-equiv)))
 :rule-classes :congruence)