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• Keywords-grammar-validation

Grammar-contextual-keywordp-when-contextual-keywordp

Proof of grammar-contextual-keywordp from contextual-keywordp.

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

Definitions and Theorems

Theorem: grammar-contextual-keywordp-when-contextual-keywordp

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