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Bool-format

Bool-format->value-index

Get the value-index field from a bool-format.

Signature
(bool-format->value-index x) → value-index
Arguments: x — Guard (bool-formatp x).
Returns: value-index — Type (natp value-index).

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

Definitions and Theorems

Function: bool-format->value-index$inline

(defun bool-format->value-index$inline (x)
  (declare (xargs :guard (bool-formatp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (nfix (cdr (std::da-nth 1 x))))
       :exec (cdr (std::da-nth 1 x))))

Theorem: natp-of-bool-format->value-index

(defthm natp-of-bool-format->value-index
  (b* ((value-index (bool-format->value-index$inline x)))
    (natp value-index))
  :rule-classes :rewrite)

Theorem: bool-format->value-index$inline-of-bool-format-fix-x

(defthm bool-format->value-index$inline-of-bool-format-fix-x
  (equal (bool-format->value-index$inline (bool-format-fix x))
         (bool-format->value-index$inline x)))

Theorem: bool-format->value-index$inline-bool-format-equiv-congruence-on-x

(defthm
  bool-format->value-index$inline-bool-format-equiv-congruence-on-x
  (implies (bool-format-equiv x x-equiv)
           (equal (bool-format->value-index$inline x)
                  (bool-format->value-index$inline x-equiv)))
  :rule-classes :congruence)