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• Keywords-grammar-validation

Grammar-reserved-keywordp-when-reserved-keywordp

Proof of grammar-reserved-keywordp from reserved-keywordp.

This is proved using reserved-keyword-tree as witness for the existential quantification: if x is a reserved keyword, then we can use its tree as witness, since its leaves are the keyword x as well.

Definitions and Theorems

Theorem: grammar-reserved-keywordp-when-reserved-keywordp

(defthm grammar-reserved-keywordp-when-reserved-keywordp
  (implies (reserved-keywordp x)
           (grammar-reserved-keywordp x)))