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• Flattening

Fenv-const-add

Extend a flattening environment with a constant.

Signature

(fenv-const-add const val env) → new-env

Arguments

const — Guard (identifierp const).

val — Guard (valuep val).

env — Guard (fenvp env).

Returns

new-env — Type (fenv-optionp new-env).

We return nil if a constant with that name is already present.

Definitions and Theorems

Function: fenv-const-add

(defun fenv-const-add (const val env)
  (declare (xargs :guard (and (identifierp const)
                              (valuep val)
                              (fenvp env))))
  (let ((__function__ 'fenv-const-add))
    (declare (ignorable __function__))
    (b* ((const-env (fenv->constants env))
         ((when (consp (omap::assoc (identifier-fix const)
                                    const-env)))
          nil)
         (new-const-env (omap::update (identifier-fix const)
                                      (value-fix val)
                                      const-env)))
      (change-fenv env
                   :constants new-const-env))))

Theorem: fenv-optionp-of-fenv-const-add

(defthm fenv-optionp-of-fenv-const-add
  (b* ((new-env (fenv-const-add const val env)))
    (fenv-optionp new-env))
  :rule-classes :rewrite)

Theorem: fenv-const-add-of-identifier-fix-const

(defthm fenv-const-add-of-identifier-fix-const
  (equal (fenv-const-add (identifier-fix const)
                         val env)
         (fenv-const-add const val env)))

Theorem: fenv-const-add-identifier-equiv-congruence-on-const

(defthm fenv-const-add-identifier-equiv-congruence-on-const
  (implies (identifier-equiv const const-equiv)
           (equal (fenv-const-add const val env)
                  (fenv-const-add const-equiv val env)))
  :rule-classes :congruence)

Theorem: fenv-const-add-of-value-fix-val

(defthm fenv-const-add-of-value-fix-val
  (equal (fenv-const-add const (value-fix val)
                         env)
         (fenv-const-add const val env)))

Theorem: fenv-const-add-value-equiv-congruence-on-val

(defthm fenv-const-add-value-equiv-congruence-on-val
  (implies (value-equiv val val-equiv)
           (equal (fenv-const-add const val env)
                  (fenv-const-add const val-equiv env)))
  :rule-classes :congruence)

Theorem: fenv-const-add-of-fenv-fix-env

(defthm fenv-const-add-of-fenv-fix-env
  (equal (fenv-const-add const val (fenv-fix env))
         (fenv-const-add const val env)))

Theorem: fenv-const-add-fenv-equiv-congruence-on-env

(defthm fenv-const-add-fenv-equiv-congruence-on-env
  (implies (fenv-equiv env env-equiv)
           (equal (fenv-const-add const val env)
                  (fenv-const-add const val env-equiv)))
  :rule-classes :congruence)