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• Svex-composition

Svex-replace-var

Replace occurrences of a variable within an svex with an svex.

Signature

(svex-replace-var x var repl) → xa

Arguments

x — Guard (svex-p x).

var — Guard (svar-p var).

repl — Guard (svex-p repl).

Returns

xa — Type (equal xa (svex-compose x (list (cons (svar-fix var) repl)))).

Theorem: return-type-of-svex-replace-var.xa

(defthm return-type-of-svex-replace-var.xa
  (b* ((?xa (svex-replace-var x var repl)))
    (equal xa
           (svex-compose x (list (cons (svar-fix var) repl)))))
  :rule-classes :rewrite)

Theorem: return-type-of-svexlist-replace-var.xa

(defthm return-type-of-svexlist-replace-var.xa
  (b* ((?xa (svexlist-replace-var x var repl)))
    (equal xa
           (svexlist-compose x (list (cons (svar-fix var) repl)))))
  :rule-classes :rewrite)

Subtopics

Svexlist-replace-var