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Context

Context->obligation-vars

Get the obligation-vars field from a context.

Signature
(context->obligation-vars x) → obligation-vars
Arguments: x — Guard (contextp x).
Returns: obligation-vars — Type (typed-variable-listp obligation-vars).

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

Definitions and Theorems

Function: context->obligation-vars$inline

(defun context->obligation-vars$inline (x)
  (declare (xargs :guard (contextp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'context->obligation-vars))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (typed-variable-list-fix (cdr (std::da-nth 4 x))))
         :exec (cdr (std::da-nth 4 x)))))

Theorem: typed-variable-listp-of-context->obligation-vars

(defthm typed-variable-listp-of-context->obligation-vars
  (b* ((obligation-vars (context->obligation-vars$inline x)))
    (typed-variable-listp obligation-vars))
  :rule-classes :rewrite)

Theorem: context->obligation-vars$inline-of-context-fix-x

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

Theorem: context->obligation-vars$inline-context-equiv-congruence-on-x

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