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Proof step 10 from proof lift-prop (previous step)

⊦ bv ∧ (∀ r. r ∈ rs → g(r) = a) ∧ mk(rs, f, g) = ∅ ↔ (⌜bv⌝ ∧ emp)[rs, f, g]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ R[rs, f, g] ↔ R(mk(rs, f, g))
Proof step 12:
⊦ bv ∧ (∀ r. r ∈ rs → g(r) = a) ∧ mk(rs, f, g) = ∅ ↔ ((⌜bv⌝ ∧ emp))(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, ⌜bv⌝ ∧ emp] flags: <all paths>

Additional information

Used terms: g, f, rs, ⌜bv⌝ ∧ emp