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• Static-semantics

Context-add-condition

Add a condition obligation hypothesis to a context.

Signature

(context-add-condition cond ctxt) → new-ctxt

Arguments

cond — Guard (expressionp cond).

ctxt — Guard (contextp ctxt).

Returns

new-ctxt — Type (contextp new-ctxt).

The hypothesis is added at the end, because its well-formedness may depend on the preceding hypotheses.

Definitions and Theorems

Function: context-add-condition

(defun context-add-condition (cond ctxt)
 (declare (xargs :guard (and (expressionp cond)
                             (contextp ctxt))))
 (let ((__function__ 'context-add-condition))
  (declare (ignorable __function__))
  (change-context ctxt
                  :obligation-hyps
                  (append (context->obligation-hyps ctxt)
                          (list (obligation-hyp-condition cond))))))

Theorem: contextp-of-context-add-condition

(defthm contextp-of-context-add-condition
  (b* ((new-ctxt (context-add-condition cond ctxt)))
    (contextp new-ctxt))
  :rule-classes :rewrite)

Theorem: context->types-of-context-add-condition

(defthm context->types-of-context-add-condition
  (b* ((?new-ctxt (context-add-condition cond ctxt)))
    (equal (context->types new-ctxt)
           (context->types ctxt))))

Theorem: context-add-condition-of-expression-fix-cond

(defthm context-add-condition-of-expression-fix-cond
  (equal (context-add-condition (expression-fix cond)
                                ctxt)
         (context-add-condition cond ctxt)))

Theorem: context-add-condition-expression-equiv-congruence-on-cond

(defthm context-add-condition-expression-equiv-congruence-on-cond
  (implies (expression-equiv cond cond-equiv)
           (equal (context-add-condition cond ctxt)
                  (context-add-condition cond-equiv ctxt)))
  :rule-classes :congruence)

Theorem: context-add-condition-of-context-fix-ctxt

(defthm context-add-condition-of-context-fix-ctxt
  (equal (context-add-condition cond (context-fix ctxt))
         (context-add-condition cond ctxt)))

Theorem: context-add-condition-context-equiv-congruence-on-ctxt

(defthm context-add-condition-context-equiv-congruence-on-ctxt
  (implies (context-equiv ctxt ctxt-equiv)
           (equal (context-add-condition cond ctxt)
                  (context-add-condition cond ctxt-equiv)))
  :rule-classes :congruence)