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Sponge

Sponge->mode

Get the mode field from a sponge.

Signature
(sponge->mode x) → mode
Arguments: x — Guard (spongep x).
Returns: mode — Type (modep mode).

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

Definitions and Theorems

Function: sponge->mode$inline

(defun sponge->mode$inline (x)
  (declare (xargs :guard (spongep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'sponge->mode))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (mode-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: modep-of-sponge->mode

(defthm modep-of-sponge->mode
  (b* ((mode (sponge->mode$inline x)))
    (modep mode))
  :rule-classes :rewrite)

Theorem: sponge->mode$inline-of-sponge-fix-x

(defthm sponge->mode$inline-of-sponge-fix-x
  (equal (sponge->mode$inline (sponge-fix x))
         (sponge->mode$inline x)))

Theorem: sponge->mode$inline-sponge-equiv-congruence-on-x

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