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Expr-type

Expr-type->type

Get the type field from a expr-type.

Signature
(expr-type->type x) → type
Arguments: x — Guard (expr-typep x).
Returns: type — Type (typep type).

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

Definitions and Theorems

Function: expr-type->type$inline

(defun expr-type->type$inline (x)
  (declare (xargs :guard (expr-typep x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (type-fix (cdr (std::da-nth 0 (cdr x)))))
       :exec (cdr (std::da-nth 0 (cdr x)))))

Theorem: typep-of-expr-type->type

(defthm typep-of-expr-type->type
  (b* ((type (expr-type->type$inline x)))
    (typep type))
  :rule-classes :rewrite)

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

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

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

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