Get the obligation-expr field from a outcome-proof-obligation-failure.
(outcome-proof-obligation-failure->obligation-expr x) → obligation-expr
This is an ordinary field accessor created by fty::defprod.
Function:
(defun outcome-proof-obligation-failure->obligation-expr$inline (x) (declare (xargs :guard (outcomep x))) (declare (xargs :guard (equal (outcome-kind x) :proof-obligation-failure))) (let ((__function__ 'outcome-proof-obligation-failure->obligation-expr)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (outcome-kind x) :proof-obligation-failure) x))) (expression-fix (std::da-nth 1 (cdr x)))) :exec (std::da-nth 1 (cdr x)))))
Theorem:
(defthm expressionp-of-outcome-proof-obligation-failure->obligation-expr (b* ((obligation-expr (outcome-proof-obligation-failure->obligation-expr$inline x))) (expressionp obligation-expr)) :rule-classes :rewrite)
Theorem:
(defthm outcome-proof-obligation-failure->obligation-expr$inline-of-outcome-fix-x (equal (outcome-proof-obligation-failure->obligation-expr$inline (outcome-fix x)) (outcome-proof-obligation-failure->obligation-expr$inline x)))
Theorem:
(defthm outcome-proof-obligation-failure->obligation-expr$inline-outcome-equiv-congruence-on-x (implies (outcome-equiv x x-equiv) (equal (outcome-proof-obligation-failure->obligation-expr$inline x) (outcome-proof-obligation-failure->obligation-expr$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm outcome-proof-obligation-failure->obligation-expr-when-wrong-kind (implies (not (equal (outcome-kind x) :proof-obligation-failure)) (equal (outcome-proof-obligation-failure->obligation-expr x) (expression-fix nil))))