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Proof step 5 from proof and-split (previous step)

⊦ ((R ∧ R0))(mk(rs, f, g)) ↔ R(mk(rs, f, g)) ∧ R0[rs, f, g]

User applied rule insert rewrite lemma

And obtained the following new goals

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, R0] flags: <all paths>

Additional information

Used simplifier rules: ⊦ ((R0 ∧ R1))(Ha) ↔ R0(Ha) ∧ R1(Ha); (s)%and-ass: ⊦ ((R0 ∧ R1) ∧ R2) = (R0 ∧ R1 ∧ R2); from specification heap-sep[heap-aux]%and-com: ⊦ (R0 ∧ R1) = (R1 ∧ R0); from specification heap-sep[heap-aux] Used terms: g, f, rs, R0