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• Ipasir$a

Ipasir-reinit$a

Logic form of ipasir-reinit. See ipasir for usage.

Signature

(ipasir-reinit$a solver) → new-solver

Arguments

solver — Guard (ipasir$a-p solver).

Returns

new-solver — Type (ipasir$a-p new-solver).

Definitions and Theorems

Function: ipasir-reinit$a

(defun ipasir-reinit$a (solver)
  (declare (xargs :guard (ipasir$a-p solver)))
  (declare
       (xargs :guard (and (eq (ipasir-get-status$a solver) :undef)
                          (ipasir-some-history$a solver))))
  (let ((__function__ 'ipasir-reinit$a))
    (declare (ignorable __function__))
    (b* (((ipasir$a solver)))
      (make-ipasir$a :status :input
                     :callback-count 0
                     :history (cons :reinit solver.history)))))

Theorem: ipasir$a-p-of-ipasir-reinit$a

(defthm ipasir$a-p-of-ipasir-reinit$a
  (b* ((new-solver (ipasir-reinit$a solver)))
    (ipasir$a-p new-solver))
  :rule-classes :rewrite)

Theorem: ipasir-reinit$a-status

(defthm ipasir-reinit$a-status
  (b* ((?new-solver (ipasir-reinit$a solver)))
    (equal (ipasir$a->status new-solver)
           :input)))

Theorem: ipasir-reinit$a-formula

(defthm ipasir-reinit$a-formula
  (b* ((?new-solver (ipasir-reinit$a solver)))
    (equal (ipasir$a->formula new-solver)
           nil)))

Theorem: ipasir-reinit$a-assumption

(defthm ipasir-reinit$a-assumption
  (b* ((?new-solver (ipasir-reinit$a solver)))
    (equal (ipasir$a->assumption new-solver)
           nil)))

Theorem: ipasir-reinit$a-new-clause

(defthm ipasir-reinit$a-new-clause
  (b* ((?new-solver (ipasir-reinit$a solver)))
    (equal (ipasir$a->new-clause new-solver)
           nil)))

Theorem: ipasir-reinit$a-of-ipasir$a-fix-solver

(defthm ipasir-reinit$a-of-ipasir$a-fix-solver
  (equal (ipasir-reinit$a (ipasir$a-fix solver))
         (ipasir-reinit$a solver)))

Theorem: ipasir-reinit$a-ipasir$a-equiv-congruence-on-solver

(defthm ipasir-reinit$a-ipasir$a-equiv-congruence-on-solver
  (implies (ipasir$a-equiv solver solver-equiv)
           (equal (ipasir-reinit$a solver)
                  (ipasir-reinit$a solver-equiv)))
  :rule-classes :congruence)