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• Ipasir

Ipasir-set$c

Signature

(ipasir-set$c val ipasir$c$c) → ipasir$c$c

Arguments

val — Guard (ipasir$a-p val).

Definitions and Theorems

Function: ipasir-set$c

(defun ipasir-set$c (val ipasir$c$c)
  (declare (xargs :stobjs (ipasir$c$c)))
  (declare (xargs :guard (ipasir$a-p val)))
  (let ((__function__ 'ipasir-set$c))
    (declare (ignorable __function__))
    (b* ((ipasir$c$c (non-exec (ipasir-set1 (ipasir$a-fix val)
                                            ipasir$c$c))))
      ipasir$c$c)))

Theorem: ipasir-set$c-of-ipasir$a-fix-val

(defthm ipasir-set$c-of-ipasir$a-fix-val
  (equal (ipasir-set$c (ipasir$a-fix val)
                       ipasir$c$c)
         (ipasir-set$c val ipasir$c$c)))

Theorem: ipasir-set$c-ipasir$a-equiv-congruence-on-val

(defthm ipasir-set$c-ipasir$a-equiv-congruence-on-val
  (implies (ipasir$a-equiv val val-equiv)
           (equal (ipasir-set$c val ipasir$c$c)
                  (ipasir-set$c val-equiv ipasir$c$c)))
  :rule-classes :congruence)