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• Pass

Pass-fix

Fixer for pass.

Signature

(pass-fix x) → fixed-x

Arguments

x — Guard (passp x).

Returns

fixed-x — Type (passp fixed-x).

Definitions and Theorems

Function: pass-fix

(defun pass-fix (x)
  (declare (xargs :guard (passp x)))
  (mbe :logic (if (passp x) x :pass)
       :exec x))

Theorem: passp-of-pass-fix

(defthm passp-of-pass-fix
  (b* ((fixed-x (pass-fix x)))
    (passp fixed-x))
  :rule-classes :rewrite)

Theorem: pass-fix-when-passp

(defthm pass-fix-when-passp
  (implies (passp x)
           (equal (pass-fix x) x)))