Get the relation field from a function-specifier-input-output.
(function-specifier-input-output->relation x) → relation
This is an ordinary field accessor created by fty::defprod.
Function:
(defun function-specifier-input-output->relation$inline (x) (declare (xargs :guard (function-specifierp x))) (declare (xargs :guard (equal (function-specifier-kind x) :input-output))) (let ((__function__ 'function-specifier-input-output->relation)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (function-specifier-kind x) :input-output) x))) (expression-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm expressionp-of-function-specifier-input-output->relation (b* ((relation (function-specifier-input-output->relation$inline x))) (expressionp relation)) :rule-classes :rewrite)
Theorem:
(defthm function-specifier-input-output->relation$inline-of-function-specifier-fix-x (equal (function-specifier-input-output->relation$inline (function-specifier-fix x)) (function-specifier-input-output->relation$inline x)))
Theorem:
(defthm function-specifier-input-output->relation$inline-function-specifier-equiv-congruence-on-x (implies (function-specifier-equiv x x-equiv) (equal (function-specifier-input-output->relation$inline x) (function-specifier-input-output->relation$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm function-specifier-input-output->relation-when-wrong-kind (implies (not (equal (function-specifier-kind x) :input-output)) (equal (function-specifier-input-output->relation x) (expression-fix nil))))