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In our previous paper (Axiomatic Differential Geometry II-3) we have discussed the general Jacobi identity, from which the Jacobi identity of vector fields follows readily. In this paper we derive Jacobi-like identities of tangent-vector-valued forms from the general Jacobi identity.doi:10.12732/ijpam.v82i5.9 fatcat:2o6hrtvdmnb2ni733heuumotx4