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Outcome-terminated

Outcome-terminated->env

Get the env field from a outcome-terminated.

Signature
(outcome-terminated->env x) → env
Arguments: x — Guard (outcomep x).
Returns: env — Type (envp env).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: outcome-terminated->env$inline

(defun outcome-terminated->env$inline (x)
  (declare (xargs :guard (outcomep x)))
  (declare (xargs :guard (equal (outcome-kind x) :terminated)))
  (let ((__function__ 'outcome-terminated->env))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (outcome-kind x) :terminated)
                      x)))
           (env-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: envp-of-outcome-terminated->env

(defthm envp-of-outcome-terminated->env
  (b* ((env (outcome-terminated->env$inline x)))
    (envp env))
  :rule-classes :rewrite)

Theorem: outcome-terminated->env$inline-of-outcome-fix-x

(defthm outcome-terminated->env$inline-of-outcome-fix-x
  (equal (outcome-terminated->env$inline (outcome-fix x))
         (outcome-terminated->env$inline x)))

Theorem: outcome-terminated->env$inline-outcome-equiv-congruence-on-x

(defthm outcome-terminated->env$inline-outcome-equiv-congruence-on-x
  (implies (outcome-equiv x x-equiv)
           (equal (outcome-terminated->env$inline x)
                  (outcome-terminated->env$inline x-equiv)))
  :rule-classes :congruence)

Theorem: outcome-terminated->env-when-wrong-kind

(defthm outcome-terminated->env-when-wrong-kind
  (implies (not (equal (outcome-kind x) :terminated))
           (equal (outcome-terminated->env x)
                  (env-fix nil))))