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    • Abstract-syntax-operations

    Expression-neg

    Abbreviation to construct a negation.

    Signature
    (expression-neg expr) → neg-expr
    Arguments
    expr — Guard (expressionp expr).
    Returns
    neg-expr — Type (expressionp neg-expr).

    This may be added to the abstract syntax at some point. For now it is just an ephemeral abbreviation.

    Definitions and Theorems

    Function: expression-neg

    (defun expression-neg (expr)
      (declare (xargs :guard (expressionp expr)))
      (let ((__function__ 'expression-neg))
        (declare (ignorable __function__))
        (expression-mul (expression-const -1)
                        expr)))

    Theorem: expressionp-of-expression-neg

    (defthm expressionp-of-expression-neg
      (b* ((neg-expr (expression-neg expr)))
        (expressionp neg-expr))
      :rule-classes :rewrite)