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