Set: pp::colors Set: pp::unicode Imported 'cast' Assumed: vec Assumed: concat Assumed: concat_assoc Assumed: empty Assumed: concat_empty Assumed: n Assumed: v Assumed: w v ; w ; empty ; (v ; empty) ===> v ; (w ; v) htrans (htrans (hcongr (hcongr (hcongr (hcongr (hrefl @concat) (to_heq (Nat::add_zeror (n + n)))) (to_heq (Nat::add_zeror n))) (htrans (to_heq (concat_empty (v ; w))) (cast_heq (congr2 vec (symm (Nat::add_zeror (n + n)))) (v ; w)))) (htrans (to_heq (concat_empty v)) (cast_heq (congr2 vec (symm (Nat::add_zeror n))) v))) (to_heq (concat_assoc v w v))) (cast_heq (congr2 vec (symm (Nat::add_assoc n n n))) (v ; (w ; v)))