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• Ipasir$a

Ipasir-empty-new-clause$a

Signature

(ipasir-empty-new-clause$a solver) → *

Arguments

solver — Guard (ipasir$a-p solver).

Definitions and Theorems

Function: ipasir-empty-new-clause$a

(defun ipasir-empty-new-clause$a (solver)
  (declare (xargs :guard (ipasir$a-p solver)))
  (let ((__function__ 'ipasir-empty-new-clause$a))
    (declare (ignorable __function__))
    (not (ipasir$a->new-clause solver))))

Theorem: ipasir-empty-new-clause$a-of-ipasir$a-fix-solver

(defthm ipasir-empty-new-clause$a-of-ipasir$a-fix-solver
  (equal (ipasir-empty-new-clause$a (ipasir$a-fix solver))
         (ipasir-empty-new-clause$a solver)))

Theorem: ipasir-empty-new-clause$a-ipasir$a-equiv-congruence-on-solver

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