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Context

Context->variables

Get the variables field from a context.

Signature
(context->variables x) → variables
Arguments: x — Guard (contextp x).
Returns: variables — Type (variable-contextp variables).

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

Definitions and Theorems

Function: context->variables$inline

(defun context->variables$inline (x)
  (declare (xargs :guard (contextp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'context->variables))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (variable-context-fix (cdr (std::da-nth 3 x))))
         :exec (cdr (std::da-nth 3 x)))))

Theorem: variable-contextp-of-context->variables

(defthm variable-contextp-of-context->variables
  (b* ((variables (context->variables$inline x)))
    (variable-contextp variables))
  :rule-classes :rewrite)

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

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

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

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