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Proof step 8 from proof merge-owned (previous step)

rs1 ∩ rs0 = ∅, R[rs0, f, g], a[P][rs1, f, g], ∃ rs3, rs2. rs3 ∪ rs2 = rs1 ∪ rs0 ∧ rs3 ∩ rs2 = ∅ ∧ a0[P0][rs3, f, g] ∧ R0[rs2, f, g] ⊦ a0 = a, (a[P] * a0[P0] * true)[rs1 ∪ rs0, f, g]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
rs2 ∩ rs = ∅, rs1 ∩ rs0 = ∅, rs2 ∪ rs = rs1 ∪ rs0, a0[P0][rs2, f, g], R0[rs, f, g], a[P][rs1, f, g], R[rs0, f, g] ⊦ a0 = a, (a[P] * a0[P0] * true)[rs1 ∪ rs0, f, g]

Proof step 8 from proof merge-owned (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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