∀ i j n, (transpose i j (transpose i j n)) = n

Theorem transpose_transpose : forall (i:nat.nat), forall (j:nat.nat), forall (n:nat.nat), logic.eq (nat.nat) (transpose i j (transpose i j n)) n.

theorem transpose_transpose : \forall (i:nat). \forall (j:nat). \forall (n:nat). (eq) (nat) ((transpose) i j ((transpose) i j n)) n.

theorem transpose_transpose : forall (i:nat.nat) , forall (j:nat.nat) , forall (n:nat.nat) , (((logic.eq_) (nat.nat)) (((((permutation.transpose) ) (i)) (j)) (((((permutation.transpose) ) (i)) (j)) (n)))) (n).

transpose_transpose : LEMMA (FORALL(i:nat_sttfa_th.sttfa_nat):(FORALL(j:nat_sttfa_th.sttfa_nat):(FORALL(n:nat_sttfa_th.sttfa_nat):logic_sttfa_th.eq[nat_sttfa_th.sttfa_nat](permutation_sttfa.transpose(i)(j)(permutation_sttfa.transpose(i)(j)(n)))(n))))

Printing for OpenTheory is not working at the moment.