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Expr-stmt

Expr-stmt->stmt

Get the stmt field from a expr-stmt.

Signature
(expr-stmt->stmt x) → stmt
Arguments: x — Guard (exprp x).
Returns: stmt — Type (comp-stmtp stmt).

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

Definitions and Theorems

Function: expr-stmt->stmt$inline

(defun expr-stmt->stmt$inline (x)
  (declare (xargs :guard (exprp x)))
  (declare (xargs :guard (equal (expr-kind x) :stmt)))
  (mbe :logic
       (b* ((x (and (equal (expr-kind x) :stmt) x)))
         (comp-stmt-fix (cdr x)))
       :exec (cdr x)))

Theorem: comp-stmtp-of-expr-stmt->stmt

(defthm comp-stmtp-of-expr-stmt->stmt
  (b* ((stmt (expr-stmt->stmt$inline x)))
    (comp-stmtp stmt))
  :rule-classes :rewrite)

Theorem: expr-stmt->stmt$inline-of-expr-fix-x

(defthm expr-stmt->stmt$inline-of-expr-fix-x
  (equal (expr-stmt->stmt$inline (expr-fix x))
         (expr-stmt->stmt$inline x)))

Theorem: expr-stmt->stmt$inline-expr-equiv-congruence-on-x

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

Theorem: expr-stmt->stmt-when-wrong-kind

(defthm expr-stmt->stmt-when-wrong-kind
  (implies (not (equal (expr-kind x) :stmt))
           (equal (expr-stmt->stmt x)
                  (comp-stmt-fix nil))))