		Search-engine friendly clone of the ACL2 documentation.

Context

Context->functions

Get the functions field from a context.

Signature
(context->functions x) → functions
Arguments: x — Guard (contextp x).
Returns: functions — Type (function-header-listp functions).

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

Definitions and Theorems

Function: context->functions$inline

(defun context->functions$inline (x)
  (declare (xargs :guard (contextp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'context->functions))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (function-header-list-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: function-header-listp-of-context->functions

(defthm function-header-listp-of-context->functions
  (b* ((functions (context->functions$inline x)))
    (function-header-listp functions))
  :rule-classes :rewrite)

Theorem: context->functions$inline-of-context-fix-x

(defthm context->functions$inline-of-context-fix-x
  (equal (context->functions$inline (context-fix x))
         (context->functions$inline x)))

Theorem: context->functions$inline-context-equiv-congruence-on-x

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