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      • Ipasir-release$c
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      • Ipasir-input$c
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      • Ipasir-get-status$c
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• Ipasir$a

Ipasir-input$a

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

Signature

(ipasir-input$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-input$a

(defun ipasir-input$a (solver)
  (declare (xargs :guard (ipasir$a-p solver)))
  (declare (xargs :guard (not (eq (ipasir-get-status$a solver)
                                  :undef))))
  (let ((__function__ 'ipasir-input$a))
    (declare (ignorable __function__))
    (change-ipasir$a solver
                     :status :input)))

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

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

Theorem: ipasir-input$a-status

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

Theorem: new-clause-of-ipasir-input$a

(defthm new-clause-of-ipasir-input$a
  (b* ((?new-solver (ipasir-input$a solver)))
    (equal (ipasir$a->new-clause new-solver)
           (ipasir$a->new-clause solver))))

Theorem: formula-of-ipasir-input$a

(defthm formula-of-ipasir-input$a
  (b* ((?new-solver (ipasir-input$a solver)))
    (equal (ipasir$a->formula new-solver)
           (ipasir$a->formula solver))))

Theorem: assumption-of-ipasir-input$a

(defthm assumption-of-ipasir-input$a
  (b* ((?new-solver (ipasir-input$a solver)))
    (equal (ipasir$a->assumption new-solver)
           (ipasir$a->assumption solver))))

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

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

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

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