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-rw-r--r--vikalpa/prelude.scm14
1 files changed, 0 insertions, 14 deletions
diff --git a/vikalpa/prelude.scm b/vikalpa/prelude.scm
index c7ab89e..c61e459 100644
--- a/vikalpa/prelude.scm
+++ b/vikalpa/prelude.scm
@@ -102,11 +102,6 @@
(define-function zero? (x)
(equal? 0 x))
- (define-function natural? (x)
- (and (integer? x)
- (or (zero? x)
- (< 0 x))))
-
(define-axiom pred/succ (x)
(implies (natural? x)
(equal? (pred (succ x)) x)))
@@ -122,8 +117,6 @@
(equal? (< (pred x) x) #t)))
(define-totality-claim natural? natural? <)
-
-
(define-function + (x y)
(natural? x)
(natural? y)
@@ -131,13 +124,6 @@
y
(succ (+ (pred x) y))))
- (define-proof zero?
- ()
- ())
-
- (define-proof natural?
- ()
- ())
(define-proof +
(natural? x)
())