Thm* i: , j:{i...}. WellFnd{u}({i..j };x,y.x > y) | [int_seg_well_founded_down] |
Thm* n: . WellFnd{i}({...n};x,y.x > y) | [int_lower_well_founded] |
Thm* a:{...0}, n:{...-1}. 0 (a rem n) & (a rem n) > n | [rem_bounds_3] |
Thm* a:{...0}, n: . 0 (a rem n) & (a rem n) > -n | [rem_bounds_2] |
Thm* i: , n: . |i| > n  i < -n i > n | [absval_lbound] |
Thm* a,b: . a b < 0  a < 0 & b > 0 a > 0 & b < 0 | [neg_mul_arg_bounds] |
Thm* a,b: . a b > 0  a > 0 & b > 0 a < 0 & b < 0 | [pos_mul_arg_bounds] |
Thm* i,j: . i > j  -i < -j | [minus_mono_wrt_lt] |