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Decl-spec-function

Decl-spec-function->spec

Get the spec field from a decl-spec-function.

Signature
(decl-spec-function->spec x) → spec
Arguments: x — Guard (decl-specp x).
Returns: spec — Type (fun-specp spec).

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

Definitions and Theorems

Function: decl-spec-function->spec$inline

(defun decl-spec-function->spec$inline (x)
  (declare (xargs :guard (decl-specp x)))
  (declare (xargs :guard (equal (decl-spec-kind x) :function)))
  (mbe :logic
       (b* ((x (and (equal (decl-spec-kind x) :function)
                    x)))
         (fun-spec-fix (cdr x)))
       :exec (cdr x)))

Theorem: fun-specp-of-decl-spec-function->spec

(defthm fun-specp-of-decl-spec-function->spec
  (b* ((spec (decl-spec-function->spec$inline x)))
    (fun-specp spec))
  :rule-classes :rewrite)

Theorem: decl-spec-function->spec$inline-of-decl-spec-fix-x

(defthm decl-spec-function->spec$inline-of-decl-spec-fix-x
  (equal (decl-spec-function->spec$inline (decl-spec-fix x))
         (decl-spec-function->spec$inline x)))

Theorem: decl-spec-function->spec$inline-decl-spec-equiv-congruence-on-x

(defthm
    decl-spec-function->spec$inline-decl-spec-equiv-congruence-on-x
  (implies (decl-spec-equiv x x-equiv)
           (equal (decl-spec-function->spec$inline x)
                  (decl-spec-function->spec$inline x-equiv)))
  :rule-classes :congruence)

Theorem: decl-spec-function->spec-when-wrong-kind

(defthm decl-spec-function->spec-when-wrong-kind
  (implies (not (equal (decl-spec-kind x) :function))
           (equal (decl-spec-function->spec x)
                  (fun-spec-fix nil))))