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Sig->module

Get the module field from a sig.

Signature
(sig->module x) → module
Arguments: x — Guard (sig-p x).
Returns: module — Type (symbolp module).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: sig->module$inline

(defun sig->module$inline (x)
  (declare (xargs :guard (sig-p x)))
  (declare (xargs :guard t))
  (let ((acl2::__function__ 'sig->module))
    (declare (ignorable acl2::__function__))
    (mbe :logic
         (b* ((x (and t x)))
           (symbol-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: symbolp-of-sig->module

(defthm symbolp-of-sig->module
  (b* ((module (sig->module$inline x)))
    (symbolp module))
  :rule-classes :rewrite)

Theorem: sig->module$inline-of-sig-fix-x

(defthm sig->module$inline-of-sig-fix-x
  (equal (sig->module$inline (sig-fix x))
         (sig->module$inline x)))

Theorem: sig->module$inline-sig-equiv-congruence-on-x

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