Number of bits of
Function:
(defun ienv->bool-bit-size (ienv) (declare (xargs :guard (ienvp ienv))) (* (bool-format->byte-size (char+short+int+long+llong+bool-format->bool (ienv->char+short+int+long+llong+bool-format ienv))) (uchar-format->size (char+short+int+long+llong+bool-format->uchar (ienv->char+short+int+long+llong+bool-format ienv)))))
Theorem:
(defthm posp-of-ienv->bool-bit-size (b* ((size (ienv->bool-bit-size ienv))) (posp size)) :rule-classes :rewrite)
Theorem:
(defthm ienv->bool-bit-size-of-ienv-fix-ienv (equal (ienv->bool-bit-size (ienv-fix ienv)) (ienv->bool-bit-size ienv)))
Theorem:
(defthm ienv->bool-bit-size-ienv-equiv-congruence-on-ienv (implies (ienv-equiv ienv ienv-equiv) (equal (ienv->bool-bit-size ienv) (ienv->bool-bit-size ienv-equiv))) :rule-classes :congruence)