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Proof step 6 from proof embed-split (previous step)

⊦ a[P0 * P1](mk(rs, f, g)) ↔ (a[P0] * a[P1])[rs, f, g]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ R[rs, f, g] ↔ R(mk(rs, f, g))
Proof step 8:
⊦ a[P0 * P1](mk(rs, f, g)) ↔ ((a[P0] * a[P1]))(mk(rs, f, g))

Rule argument

spec: heap-fun, inst: heap-aux name: apply seq: ⊦ R[rs, f, g] ↔ R(mk(rs, f, g)) subst: [g, f, rs, R] → [g, f, rs, a[P0] * a[P1]] flags: <all paths>

Additional information

Used terms: g, f, rs, a[P0] * a[P1]