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    • Ipasir
      • Ipasir$a
        • Ipasir$a-p
        • Ipasir$a-fix
        • Ipasir-set-limit$a
        • Ipasir-add-lit$a
        • Ipasir-assume$a
        • Ipasir-init$a
        • Make-ipasir$a
        • Ipasir-finalize-clause$a
        • Ipasir-reinit$a
        • Ipasir-input$a
        • Ipasir$a-equiv
        • Ipasir-val$a
        • Ipasir-release$a
        • Ipasir$a->solved-assumption
        • Ipasir-failed$a
        • Change-ipasir$a
        • Ipasir$a->new-clause
        • Ipasir$a->callback-count
        • Ipasir$a->assumption
        • Ipasir$a->status
        • Ipasir$a->solution
        • Ipasir$a->formula
        • Ipasir$a->history
        • Ipasir-callback-count$a
        • Ipasir-solved-assumption$a
        • Ipasir-some-history$a
        • Ipasir-get-assumption$a
        • Ipasir-empty-new-clause$a
        • Ipasir-get-status$a
        • Create-ipasir$a
        • Ipasir-solve$a
      • Building-an-ipasir-solver-library
      • Ipasir-formula
      • Ipasir-bump-activity-vars$a
      • Ipasir-set$a
      • Ipasir-bump-activity-vars$c
      • Ipasir-get$a
      • Ipasir-set-limit$c
      • Ipasir-failed$c
      • Ipasir-assume$c
      • Ipasir-add-lit$c
      • Ipasir-val$c
      • Ipasir-set$c
      • With-local-ipasir
      • Ipasir-solve$c
      • Ipasir-init$c
      • Ipasir-finalize-clause$c
      • Ipasir-some-history$c
      • Ipasir-solved-assumption$c
      • Ipasir-release$c
      • Ipasir-reinit$c
      • Ipasir-input$c
      • Ipasir-get$c
      • Ipasir-get-status$c
      • Ipasir-get-curr-stats$c
      • Ipasir-get-assumption$c
      • Ipasir-empty-new-clause$c
      • Ipasir-callback-count$c
      • Ipasir-val
      • Ipasir-solve
      • Ipasir-set-limit
      • Ipasir-reinit
      • Ipasir-failed
      • Ipasir-callback-count
      • Ipasir-release
      • Ipasir-input
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• Ipasir$a

Ipasir$a->formula

Get the formula field from a ipasir$a.

Signature

(ipasir$a->formula x) → formula

Arguments

x — Guard (ipasir$a-p x).

Returns

formula — Type (lit-list-listp formula).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: ipasir$a->formula$inline

(defun ipasir$a->formula$inline (x)
  (declare (xargs :guard (ipasir$a-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'ipasir$a->formula))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (lit-list-list-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: lit-list-listp-of-ipasir$a->formula

(defthm lit-list-listp-of-ipasir$a->formula
  (b* ((formula (ipasir$a->formula$inline x)))
    (lit-list-listp formula))
  :rule-classes :rewrite)

Theorem: ipasir$a->formula$inline-of-ipasir$a-fix-x

(defthm ipasir$a->formula$inline-of-ipasir$a-fix-x
  (equal (ipasir$a->formula$inline (ipasir$a-fix x))
         (ipasir$a->formula$inline x)))

Theorem: ipasir$a->formula$inline-ipasir$a-equiv-congruence-on-x

(defthm ipasir$a->formula$inline-ipasir$a-equiv-congruence-on-x
  (implies (ipasir$a-equiv x x-equiv)
           (equal (ipasir$a->formula$inline x)
                  (ipasir$a->formula$inline x-equiv)))
  :rule-classes :congruence)