∀ i j, (transpose i j j) = i

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

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

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

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

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