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• Modinst

Modinst->modname

Get the modname field from a modinst.

Signature

(modinst->modname x) → modname

Arguments

x — Guard (modinst-p x).

Returns

modname — Type (modname-p modname).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: modinst->modname$inline

(defun modinst->modname$inline (x)
  (declare (xargs :guard (modinst-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'modinst->modname))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (modname-fix (std::prod-cdr x)))
         :exec (std::prod-cdr x))))

Theorem: modname-p-of-modinst->modname

(defthm modname-p-of-modinst->modname
  (b* ((modname (modinst->modname$inline x)))
    (modname-p modname))
  :rule-classes :rewrite)

Theorem: modinst->modname$inline-of-modinst-fix-x

(defthm modinst->modname$inline-of-modinst-fix-x
  (equal (modinst->modname$inline (modinst-fix x))
         (modinst->modname$inline x)))

Theorem: modinst->modname$inline-modinst-equiv-congruence-on-x

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