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 mulmxVp m n (A : 'M[F]_(m, n)) : row_free A -> A *m pinvmx A = 1%:M.