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Function-header

Function-header->inputs

Get the inputs field from a function-header.

Signature
(function-header->inputs x) → inputs
Arguments: x — Guard (function-headerp x).
Returns: inputs — Type (typed-variable-listp inputs).

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

Definitions and Theorems

Function: function-header->inputs$inline

(defun function-header->inputs$inline (x)
  (declare (xargs :guard (function-headerp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'function-header->inputs))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (typed-variable-list-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: typed-variable-listp-of-function-header->inputs

(defthm typed-variable-listp-of-function-header->inputs
  (b* ((inputs (function-header->inputs$inline x)))
    (typed-variable-listp inputs))
  :rule-classes :rewrite)

Theorem: function-header->inputs$inline-of-function-header-fix-x

(defthm function-header->inputs$inline-of-function-header-fix-x
  (equal (function-header->inputs$inline (function-header-fix x))
         (function-header->inputs$inline x)))

Theorem: function-header->inputs$inline-function-header-equiv-congruence-on-x

(defthm
 function-header->inputs$inline-function-header-equiv-congruence-on-x
 (implies (function-header-equiv x x-equiv)
          (equal (function-header->inputs$inline x)
                 (function-header->inputs$inline x-equiv)))
 :rule-classes :congruence)