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Extdecl-asm

Extdecl-asm->unwrap

Get the unwrap field from a extdecl-asm.

Signature
(extdecl-asm->unwrap x) → unwrap
Arguments: x — Guard (extdeclp x).
Returns: unwrap — Type (asm-stmtp unwrap).

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

Definitions and Theorems

Function: extdecl-asm->unwrap$inline

(defun extdecl-asm->unwrap$inline (x)
  (declare (xargs :guard (extdeclp x)))
  (declare (xargs :guard (equal (extdecl-kind x) :asm)))
  (let ((__function__ 'extdecl-asm->unwrap))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (extdecl-kind x) :asm) x)))
           (asm-stmt-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: asm-stmtp-of-extdecl-asm->unwrap

(defthm asm-stmtp-of-extdecl-asm->unwrap
  (b* ((unwrap (extdecl-asm->unwrap$inline x)))
    (asm-stmtp unwrap))
  :rule-classes :rewrite)

Theorem: extdecl-asm->unwrap$inline-of-extdecl-fix-x

(defthm extdecl-asm->unwrap$inline-of-extdecl-fix-x
  (equal (extdecl-asm->unwrap$inline (extdecl-fix x))
         (extdecl-asm->unwrap$inline x)))

Theorem: extdecl-asm->unwrap$inline-extdecl-equiv-congruence-on-x

(defthm extdecl-asm->unwrap$inline-extdecl-equiv-congruence-on-x
  (implies (extdecl-equiv x x-equiv)
           (equal (extdecl-asm->unwrap$inline x)
                  (extdecl-asm->unwrap$inline x-equiv)))
  :rule-classes :congruence)

Theorem: extdecl-asm->unwrap-when-wrong-kind

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