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Binding

Binding->value

Get the value field from a binding.

Signature
(binding->value x) → value
Arguments: x — Guard (bindingp x).
Returns: value — Type (expressionp value).

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

Definitions and Theorems

Function: binding->value$inline

(defun binding->value$inline (x)
  (declare (xargs :guard (bindingp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'binding->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (expression-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: expressionp-of-binding->value

(defthm expressionp-of-binding->value
  (b* ((value (binding->value$inline x)))
    (expressionp value))
  :rule-classes :rewrite)

Theorem: binding->value$inline-of-binding-fix-x

(defthm binding->value$inline-of-binding-fix-x
  (equal (binding->value$inline (binding-fix x))
         (binding->value$inline x)))

Theorem: binding->value$inline-binding-equiv-congruence-on-x

(defthm binding->value$inline-binding-equiv-congruence-on-x
  (implies (binding-equiv x x-equiv)
           (equal (binding->value$inline x)
                  (binding->value$inline x-equiv)))
  :rule-classes :congruence)