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Proof step 28 from proof merge-owned (previous step)

rs1 ∩ rs0 = ∅, rs2 ∩ rs = ∅, rs2 ∪ rs = rs1 ∪ rs0, P0(mk(rs2, f)), R[rs0, f, g], a[P](mk(rs1, f, g)), R0[rs, f, g], r ∈ rs2, ∀ r. r ∈ rs2 → g(r) = a0 ⊦ # rs2 = 0, a0 = a, rs2 = ∅, (a[P] * a0[P0] * true)[rs1 ∪ rs0, f, g], r ∈ rs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 29:
rs2 ∩ rs = ∅, rs1 ∩ rs0 = ∅, rs2 ∪ rs = rs1 ∪ rs0, P0(mk(rs2, f)), R0[rs, f, g], a[P](mk(rs1, f, g)), R[rs0, f, g], r ∈ rs2, ∀ r. r ∈ rs2 → g(r) = a0 ⊦ # rs2 = 0, a0 = a, rs2 = ∅, (a[P] * a0[P0] * true)[rs1 ∪ rs0, f, g], r ∈ rs0

Proof step 28 from proof merge-owned (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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