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Proof step 76 from proof aux-known (previous step)

mk(rs1, f) = (∅ ++ r)[r, o], rs1 ∩ rs0 = ∅, R[rs0, f, g], ∀ r0. r0 ∈ rs1 → (r = r0 ⊃ a1;g(r0)) = a1 ⊦ r = null, (g(r)[r => o] * R)[rs1 ∪ rs0, f, g], g(r)[r => o][rs1, f, g], r ∈ rs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 77:
mk(rs1, f) = (∅ ++ r)[r, o], rs1 ∩ rs0 = ∅, R[rs0, f, g], ∀ r0. r0 ∈ rs1 → (r = r0 ⊃ a1;g(r0)) = a1 ⊦ r = null, g(r)[r => o][rs1, f, g], (g(r)[r => o] * R)[rs1 ∪ rs0, f, g], r ∈ rs0

Proof step 76 from proof aux-known (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information