| rs2 ∩ rs = ∅, rs2 ∩ rs3 = ∅, rs1 ∩ rs2 = ∅, rs1 ∩ rs3 = ∅, rs2 ∪ rs = rs1 ∪ rs2 ∪ rs3, R[rs2 ∪ rs3, f, g], a[P][rs1, f, g], R0[rs, f, g], a0[P0][rs2, f, g] ⊦ a0 = a, (a[P] * a0[P0] * true)[rs2 ∪ rs, f, g] |
rs1 ∩ rs3 = ∅, rs1 ∩ rs2 = ∅, rs2 ∩ rs3 = ∅, rs2 ∩ rs = ∅, a0[P0][rs2, f, g], R0[rs, f, g], a[P][rs1, f, g], R[rs2 ∪ rs3, f, g] ⊦ a0 = a, (a[P] * a0[P0] * true)[rs1 ∪ rs2 ∪ rs3, f, g]