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Config

Config->env

Get the env field from a config.

Signature
(config->env x) → env
Arguments: x — Guard (configp x).
Returns: env — Type (envp env).

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

Definitions and Theorems

Function: config->env$inline

(defun config->env$inline (x)
  (declare (xargs :guard (configp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'config->env))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (env-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: envp-of-config->env

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

Theorem: config->env$inline-of-config-fix-x

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

Theorem: config->env$inline-config-equiv-congruence-on-x

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