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

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

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

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

transpose_i_j_j_i : 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)(n))(permutation_sttfa.transpose(j)(i)(n)))))

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