Datasets:
Tasks:
Text Generation
Modalities:
Text
Sub-tasks:
language-modeling
Languages:
English
Size:
100K - 1M
License:
(* ---------------------------------------------------------------------- *) | |
(* Nums *) | |
(* ---------------------------------------------------------------------- *) | |
let neq = `(=):num->num->bool`;; | |
let nlt = `(<):num->num->bool`;; | |
let ngt = `(>):num->num->bool`;; | |
let nle = `(<=):num->num->bool`;; | |
let nge = `(>=):num->num->bool`;; | |
let nm = `( * ):num->num->num`;; | |
let np = `(+):num->num->num`;; | |
let nzero = `0`;; | |
let even_tm = `EVEN`;; | |
let odd_tm = `ODD`;; | |
let nmax = new_definition( | |
`nmax (n:num) m = if n <= m then m else n`);; | |
let SUC_1 = prove( | |
`1 + x = SUC x`, | |
(* {{{ Proof *) | |
ARITH_TAC);; | |
(* }}} *) | |
let even_tm = `EVEN`;; | |
let odd_tm = `ODD`;; | |
let PARITY_CONV tm = | |
let k = dest_small_numeral tm in | |
if even k then | |
prove(mk_comb(even_tm,tm),ARITH_TAC) | |
else | |
prove(mk_comb(odd_tm,tm),ARITH_TAC);; | |