		Search-engine friendly clone of the ACL2 documentation.

Ext-declon-asm

Ext-declon-asm->stmt

Get the stmt field from a ext-declon-asm.

Signature
(ext-declon-asm->stmt x) → stmt
Arguments: x — Guard (ext-declonp x).
Returns: stmt — Type (asm-stmtp stmt).

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

Definitions and Theorems

Function: ext-declon-asm->stmt$inline

(defun ext-declon-asm->stmt$inline (x)
  (declare (xargs :guard (ext-declonp x)))
  (declare (xargs :guard (equal (ext-declon-kind x) :asm)))
  (mbe :logic
       (b* ((x (and (equal (ext-declon-kind x) :asm)
                    x)))
         (asm-stmt-fix (cdr x)))
       :exec (cdr x)))

Theorem: asm-stmtp-of-ext-declon-asm->stmt

(defthm asm-stmtp-of-ext-declon-asm->stmt
  (b* ((stmt (ext-declon-asm->stmt$inline x)))
    (asm-stmtp stmt))
  :rule-classes :rewrite)

Theorem: ext-declon-asm->stmt$inline-of-ext-declon-fix-x

(defthm ext-declon-asm->stmt$inline-of-ext-declon-fix-x
  (equal (ext-declon-asm->stmt$inline (ext-declon-fix x))
         (ext-declon-asm->stmt$inline x)))

Theorem: ext-declon-asm->stmt$inline-ext-declon-equiv-congruence-on-x

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

Theorem: ext-declon-asm->stmt-when-wrong-kind

(defthm ext-declon-asm->stmt-when-wrong-kind
  (implies (not (equal (ext-declon-kind x) :asm))
           (equal (ext-declon-asm->stmt x)
                  (asm-stmt-fix nil))))