(svdecomp-equal-svex-alist-evals-metafun x mfc state) → newx
Function:
(defun svdecomp-equal-svex-alist-evals-metafun (x mfc state) (declare (xargs :stobjs (state))) (declare (xargs :guard (pseudo-termp x))) (declare (ignorable mfc)) (let ((__function__ 'svdecomp-equal-svex-alist-evals-metafun)) (declare (ignorable __function__)) (b* (((acl2::when-match x (equal (svex-alist-eval '(:? svexes1) (:? env1)) (svex-alist-eval '(:? svexes2) (:? env2)))) (cwtime (b* (((unless (and (svex-alist-p svexes1) (svex-alist-p svexes2))) (cw "svdecomp-equal-svex-alist-evals-meta failed because the svex was not svex-p~%") x) ((mv err symenv1) (map-alist-term-keys-to-val-terms env1)) ((when err) (cw "svdecomp-equal-svex-alist-evals-meta failed to process the environment term: ~@0~%" err) x) ((mv err symenv2) (map-alist-term-keys-to-val-terms env2)) ((when err) (cw "svdecomp-equal-svex-alist-evals-meta failed to process the environment term: ~@0~%" err) x) ((mv newsvexes1 newenv1) (svdecomp-normalize-svexlist-eval (svex-alist-vals svexes1) symenv1 10)) ((mv newsvexes2 newenv2) (svdecomp-normalize-svexlist-eval (svex-alist-vals svexes2) symenv2 10)) (limit (svdecomp-get-rewrite-limit state)) ((mv newsvexes1 newsvexes2) (svexlists-rewrite-until-same newsvexes1 newsvexes2 limit)) (svexal1 (pairlis$ (svex-alist-keys svexes1) newsvexes1)) (svexal2 (pairlis$ (svex-alist-keys svexes2) newsvexes2))) (svdecomp-svex?-eval-compare-term svexal1 svexal2 newenv1 newenv2 'svex-alist-eval)) :name svdecomp-equal-svex-alist-evals-metafun))) x)))
Theorem:
(defthm pseudo-termp-of-svdecomp-equal-svex-alist-evals-metafun (implies (and (state-p state) (pseudo-termp x)) (b* ((newx (svdecomp-equal-svex-alist-evals-metafun x mfc state))) (pseudo-termp newx))) :rule-classes :rewrite)
Theorem:
(defthm svdecomp-equal-svex-alist-evals-meta (equal (svdecomp-ev x a) (svdecomp-ev (svdecomp-equal-svex-alist-evals-metafun x mfc state) a)) :rule-classes ((:meta :trigger-fns (equal))))