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Proof step 74 from proof rely-owned-unchgd (previous step)

rs2 ∩ rs1 = ∅, P(mk(rs2, f0)), ∀ r. (g(r) = a ∧ r ∈ rs ↔ g0(r) = a ∧ r ∈ rs2 ∪ rs1) ∧ (g(r) = a ∧ r ∈ rs → f(r) = f0(r)), ∀ r. r ∈ rs2 → g0(r) = a ⊦ a[P](mk(rs2, f, g))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 75:
rs2 ∩ rs1 = ∅, P(mk(rs2, f0)), ∀ r. r ∈ rs2 → g0(r) = a, ∀ r. (g(r) = a ∧ r ∈ rs ↔ g0(r) = a ∧ r ∈ rs2 ∪ rs1) ∧ (g(r) = a ∧ r ∈ rs → f(r) = f0(r)) ⊦ a[P](mk(rs2, f, g))

Proof step 74 from proof rely-owned-unchgd (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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