is mentioned by
Thm* a:, n:, k:. k(a n) kna | [div_lbound_1] |
Thm* a,b:. (a -- b) = 0 ab | [ndiff_zero] |
Thm* a,b,c:. aimin(b;c) ab & ac | [imin_ub] |
Thm* a,b,c:. imin(a;b)c ac bc | [imin_lb] |
Thm* a,b,c:. aimax(b;c) ab ac | [imax_ub] |
Thm* a,b,c:. imax(a;b)c ac & bc | [imax_lb] |
Thm* P:(Prop). (x:. P(|x|)) (x:. P(x)) | [absval_elim] |
Thm* x,y:. |x| = |y| x = y | [absval_eq] |
Thm* i:, n:. |i| > n i < -n i > n | [absval_lbound] |
Thm* i:, n:. |i|n -ni & in | [absval_ubound] |
Thm* i:. |i| = 0 i = 0 | [absval_zero] |
Thm* a,b:. ab < 0 a < 0 & b > 0 a > 0 & b < 0 | [neg_mul_arg_bounds] |
Thm* a,b:. ab > 0 a > 0 & b > 0 a < 0 & b < 0 | [pos_mul_arg_bounds] |
Thm* i,j:. i > j -i < -j | [minus_mono_wrt_lt] |
Thm* a,b,n:. ab a+nb+n | [add_mono_wrt_le_rw] |
Thm* a,b,n:. ab a+nb+n | [add_mono_wrt_le] |
Thm* a,b,n:. a < b a+n < b+n | [add_mono_wrt_lt_rw] |
Thm* a,b,n:. a < b a+n < b+n | [add_mono_wrt_lt] |
Thm* a,b,n:. a = b a+n = b+n | [add_mono_wrt_eq_rw] |
Thm* a,b,n:. a = b a+n = b+n | [add_mono_wrt_eq] |
Thm* i,j:. ij i < j+1 | [le_to_lt_rw] |
Thm* i,j:. i < j i+1j | [lt_to_le_rw] |
In prior sections: core well fnd int 1 bool 1
Try larger context: StandardLIB