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Input-section

Input-section->title

Get the title field from a input-section.

Signature
(input-section->title x) → title
Arguments: x — Guard (input-sectionp x).
Returns: title — Type (input-titlep title).

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

Definitions and Theorems

Function: input-section->title$inline

(defun input-section->title$inline (x)
  (declare (xargs :guard (input-sectionp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'input-section->title))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (input-title-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: input-titlep-of-input-section->title

(defthm input-titlep-of-input-section->title
  (b* ((title (input-section->title$inline x)))
    (input-titlep title))
  :rule-classes :rewrite)

Theorem: input-section->title$inline-of-input-section-fix-x

(defthm input-section->title$inline-of-input-section-fix-x
  (equal (input-section->title$inline (input-section-fix x))
         (input-section->title$inline x)))

Theorem: input-section->title$inline-input-section-equiv-congruence-on-x

(defthm
    input-section->title$inline-input-section-equiv-congruence-on-x
  (implies (input-section-equiv x x-equiv)
           (equal (input-section->title$inline x)
                  (input-section->title$inline x-equiv)))
  :rule-classes :congruence)