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Param

Param->full-rounds-half

Get the full-rounds-half field from a param.

Signature
(param->full-rounds-half x) → full-rounds-half
Arguments: x — Guard (paramp x).
Returns: full-rounds-half — Type (natp full-rounds-half).

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

Definitions and Theorems

Function: param->full-rounds-half$inline

(defun param->full-rounds-half$inline (x)
  (declare (xargs :guard (paramp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'param->full-rounds-half))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (cdr (std::da-nth 4 x))))
         :exec (cdr (std::da-nth 4 x)))))

Theorem: natp-of-param->full-rounds-half

(defthm natp-of-param->full-rounds-half
  (b* ((full-rounds-half (param->full-rounds-half$inline x)))
    (natp full-rounds-half))
  :rule-classes :rewrite)

Theorem: param->full-rounds-half$inline-of-param-fix-x

(defthm param->full-rounds-half$inline-of-param-fix-x
  (equal (param->full-rounds-half$inline (param-fix x))
         (param->full-rounds-half$inline x)))

Theorem: param->full-rounds-half$inline-param-equiv-congruence-on-x

(defthm param->full-rounds-half$inline-param-equiv-congruence-on-x
  (implies (param-equiv x x-equiv)
           (equal (param->full-rounds-half$inline x)
                  (param->full-rounds-half$inline x-equiv)))
  :rule-classes :congruence)