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.

Lemma mulmx_ebase m n (A : 'M_(m, n)) :
col_ebase A *m pid_mx (\rank A) *m row_ebase A = A.