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• Ienv

Ienv->char+short+int+long+llong+bool-format

Get the char+short+int+long+llong+bool-format field from a ienv.

Signature

(ienv->char+short+int+long+llong+bool-format x) 
  → 
char+short+int+long+llong+bool-format

Arguments

x — Guard (ienvp x).

Returns

char+short+int+long+llong+bool-format — Type (char+short+int+long+llong+bool-formatp char+short+int+long+llong+bool-format) .

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

Definitions and Theorems

Function: ienv->char+short+int+long+llong+bool-format$inline

(defun ienv->char+short+int+long+llong+bool-format$inline (x)
  (declare (xargs :guard (ienvp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x))
            (version (version-fix (cdr (std::da-nth 0 x))))
            (char+short+int+long+llong+bool-format
                 (char+short+int+long+llong+bool-format-fix
                      (cdr (std::da-nth 1 x)))))
         (if (char+short+int+long+llong+bool-format-wfp
                  char+short+int+long+llong+bool-format)
             char+short+int+long+llong+bool-format
           (char8+short16+int16+long32+llong64+bool0-tcnt)))
       :exec (cdr (std::da-nth 1 x))))

Theorem: char+short+int+long+llong+bool-formatp-of-ienv->char+short+int+long+llong+bool-format

(defthm
 char+short+int+long+llong+bool-formatp-of-ienv->char+short+int+long+llong+bool-format
 (b* ((char+short+int+long+llong+bool-format
           (ienv->char+short+int+long+llong+bool-format$inline x)))
   (char+short+int+long+llong+bool-formatp
        char+short+int+long+llong+bool-format))
 :rule-classes :rewrite)

Theorem: ienv->char+short+int+long+llong+bool-format$inline-of-ienv-fix-x

(defthm
   ienv->char+short+int+long+llong+bool-format$inline-of-ienv-fix-x
 (equal
   (ienv->char+short+int+long+llong+bool-format$inline (ienv-fix x))
   (ienv->char+short+int+long+llong+bool-format$inline x)))

Theorem: ienv->char+short+int+long+llong+bool-format$inline-ienv-equiv-congruence-on-x

(defthm
 ienv->char+short+int+long+llong+bool-format$inline-ienv-equiv-congruence-on-x
 (implies
  (ienv-equiv x x-equiv)
  (equal
      (ienv->char+short+int+long+llong+bool-format$inline x)
      (ienv->char+short+int+long+llong+bool-format$inline x-equiv)))
 :rule-classes :congruence)