Formalization of Linear Space Theory in the Higher-Order Logic Proving System

Box 4

val is_linear_space_def = Define′

  linear_space ^∧s^∧ls = num_field ^∧s ∧ ^∧ls_not_empty ∧ ^∧ls_add ∧ ^∧ls_mul ∧ ^∧ls_plus_assoc

         ∧ ^∧ls_plus_sym ∧ ^∧ls_zero_def ∧ ^∧ls_opp_def ∧ ^∧ls_mult_one