Get the matrix field from a function-definer-quantified.
(function-definer-quantified->matrix x) → matrix
This is an ordinary field accessor created by fty::defprod.
Function:
(defun function-definer-quantified->matrix$inline (x) (declare (xargs :guard (function-definerp x))) (declare (xargs :guard (equal (function-definer-kind x) :quantified))) (let ((__function__ 'function-definer-quantified->matrix)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (function-definer-kind x) :quantified) x))) (expression-fix (std::da-nth 2 (cdr x)))) :exec (std::da-nth 2 (cdr x)))))
Theorem:
(defthm expressionp-of-function-definer-quantified->matrix (b* ((matrix (function-definer-quantified->matrix$inline x))) (expressionp matrix)) :rule-classes :rewrite)
Theorem:
(defthm function-definer-quantified->matrix$inline-of-function-definer-fix-x (equal (function-definer-quantified->matrix$inline (function-definer-fix x)) (function-definer-quantified->matrix$inline x)))
Theorem:
(defthm function-definer-quantified->matrix$inline-function-definer-equiv-congruence-on-x (implies (function-definer-equiv x x-equiv) (equal (function-definer-quantified->matrix$inline x) (function-definer-quantified->matrix$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm function-definer-quantified->matrix-when-wrong-kind (implies (not (equal (function-definer-kind x) :quantified)) (equal (function-definer-quantified->matrix x) (expression-fix nil))))