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Proof step 8 from proof write-known (previous step)

rs1 ∩ rs0 = ∅, R[rs0, f, g], a[r => o0][rs1, f, g] ⊦ (a[r => o1] * R)[rs1 ∪ rs0, f(r; o1), g] ∧ f(r) = o0, a[r => o1][rs1, f(r; o1), g] ∧ R[rs0, f(r; o1), g] ∧ rs1 ∩ rs0 = ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
rs1 ∩ rs0 = ∅, a[r => o0][rs1, f, g], R[rs0, f, g] ⊦ (a[r => o1] * R)[rs1 ∪ rs0, f(r; o1), g] ∧ f(r) = o0, a[r => o1][rs1, f(r; o1), g] ∧ R[rs0, f(r; o1), g]

Proof step 8 from proof write-known (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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