		Search-engine friendly clone of the ACL2 documentation.

Context

Context->obligation-hyps

Get the obligation-hyps field from a context.

Signature
(context->obligation-hyps x) → obligation-hyps
Arguments: x — Guard (contextp x).
Returns: obligation-hyps — Type (obligation-hyp-listp obligation-hyps).

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

Definitions and Theorems

Function: context->obligation-hyps$inline

(defun context->obligation-hyps$inline (x)
  (declare (xargs :guard (contextp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'context->obligation-hyps))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (obligation-hyp-list-fix (cdr (std::da-nth 5 x))))
         :exec (cdr (std::da-nth 5 x)))))

Theorem: obligation-hyp-listp-of-context->obligation-hyps

(defthm obligation-hyp-listp-of-context->obligation-hyps
  (b* ((obligation-hyps (context->obligation-hyps$inline x)))
    (obligation-hyp-listp obligation-hyps))
  :rule-classes :rewrite)

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

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

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

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