Get the hypotheses field from a proof-obligation.
(proof-obligation->hypotheses x) → hypotheses
This is an ordinary field accessor created by fty::defprod.
Function:
(defun proof-obligation->hypotheses$inline (x) (declare (xargs :guard (proof-obligationp x))) (declare (xargs :guard t)) (let ((__function__ 'proof-obligation->hypotheses)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and t x))) (obligation-hyp-list-fix (cdr (std::da-nth 1 x)))) :exec (cdr (std::da-nth 1 x)))))
Theorem:
(defthm obligation-hyp-listp-of-proof-obligation->hypotheses (b* ((hypotheses (proof-obligation->hypotheses$inline x))) (obligation-hyp-listp hypotheses)) :rule-classes :rewrite)
Theorem:
(defthm proof-obligation->hypotheses$inline-of-proof-obligation-fix-x (equal (proof-obligation->hypotheses$inline (proof-obligation-fix x)) (proof-obligation->hypotheses$inline x)))
Theorem:
(defthm proof-obligation->hypotheses$inline-proof-obligation-equiv-congruence-on-x (implies (proof-obligation-equiv x x-equiv) (equal (proof-obligation->hypotheses$inline x) (proof-obligation->hypotheses$inline x-equiv))) :rule-classes :congruence)