Section LtmxIdentities.
Variables (m1 m2 n : nat) (A : 'M_(m1, n)) (B : 'M_(m2, n)).
Hint Resolve rank_leq_row rank_leq_col row_ebase_unit col_ebase_unit : core.
Arguments mulmx_max_rank [r m n].

Lemma mxrankM_maxl m n p (A : 'M_(m, n)) (B : 'M_(n, p)) :
\rank (A *m B) <= \rank A.