Package natural-add-def: Definition of natural number addition

Information

namenatural-add-def
version1.18
descriptionDefinition of natural number addition
authorJoe Leslie-Hurd <joe@gilith.com>
licenseHOLLight
provenanceHOL Light theory extracted on 2012-07-28
requiresbool
natural-thm
showData.Bool
Number.Natural

Files

Defined Constant

Theorems

n. 0 + n = n

m n. suc m + n = suc (m + n)

Input Type Operators

Input Constants

Assumptions

() = λp. p ((select) p)

() = λp. p = λx.

() = λp q. p q p

() = λp q. (λf. f p q) = λf. f

() = λp. q. (x. p x q) q

p. (x. y. p x y) y. x. p x (y x)

(∃!) = λp. () p x y. p x p y x = y

e f. ∃!fn. fn 0 = e n. fn (suc n) = f (fn n) n