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Align-spec-alignas-expr

Align-spec-alignas-expr->expr

Get the expr field from a align-spec-alignas-expr.

Signature
(align-spec-alignas-expr->expr x) → expr
Arguments: x — Guard (align-specp x).
Returns: expr — Type (const-exprp expr).

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

Definitions and Theorems

Function: align-spec-alignas-expr->expr$inline

(defun align-spec-alignas-expr->expr$inline (x)
  (declare (xargs :guard (align-specp x)))
  (declare (xargs :guard (equal (align-spec-kind x)
                                :alignas-expr)))
  (mbe :logic
       (b* ((x (and (equal (align-spec-kind x)
                           :alignas-expr)
                    x)))
         (const-expr-fix (cdr x)))
       :exec (cdr x)))

Theorem: const-exprp-of-align-spec-alignas-expr->expr

(defthm const-exprp-of-align-spec-alignas-expr->expr
  (b* ((expr (align-spec-alignas-expr->expr$inline x)))
    (const-exprp expr))
  :rule-classes :rewrite)

Theorem: align-spec-alignas-expr->expr$inline-of-align-spec-fix-x

(defthm align-spec-alignas-expr->expr$inline-of-align-spec-fix-x
  (equal (align-spec-alignas-expr->expr$inline (align-spec-fix x))
         (align-spec-alignas-expr->expr$inline x)))

Theorem: align-spec-alignas-expr->expr$inline-align-spec-equiv-congruence-on-x

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

Theorem: align-spec-alignas-expr->expr-when-wrong-kind

(defthm align-spec-alignas-expr->expr-when-wrong-kind
  (implies (not (equal (align-spec-kind x)
                       :alignas-expr))
           (equal (align-spec-alignas-expr->expr x)
                  (const-expr-fix nil))))