Get the multi field from a expression-component.
(expression-component->multi x) → multi
This is an ordinary field accessor created by fty::defprod.
Function:
(defun expression-component->multi$inline (x) (declare (xargs :guard (expressionp x))) (declare (xargs :guard (equal (expression-kind x) :component))) (let ((__function__ 'expression-component->multi)) (declare (ignorable __function__)) (mbe :logic (b* ((x (and (equal (expression-kind x) :component) x))) (expression-fix (std::da-nth 0 (cdr x)))) :exec (std::da-nth 0 (cdr x)))))
Theorem:
(defthm expressionp-of-expression-component->multi (b* ((multi (expression-component->multi$inline x))) (expressionp multi)) :rule-classes :rewrite)
Theorem:
(defthm expression-component->multi$inline-of-expression-fix-x (equal (expression-component->multi$inline (expression-fix x)) (expression-component->multi$inline x)))
Theorem:
(defthm expression-component->multi$inline-expression-equiv-congruence-on-x (implies (expression-equiv x x-equiv) (equal (expression-component->multi$inline x) (expression-component->multi$inline x-equiv))) :rule-classes :congruence)
Theorem:
(defthm expression-component->multi-when-wrong-kind (implies (not (equal (expression-kind x) :component)) (equal (expression-component->multi x) (expression-fix nil))))