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Proof step 4 from proof lift-true (conclusion)

⊦ a[true][rs, f, g] ↔ (∀ r. r ∈ rs → g(r) = a)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ R[rs, f, g] ↔ R(mk(rs, f, g))

Rule argument

[x0lemmaarg: spec-name: heap-fun instance-name: heap-aux lemma-name: apply antecedent: succedent: R[rs, f, g] ↔ R(mk(rs, f, g)) substlist: [g, f, rs, R] → [g, f, rs, a[true]] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (g, f, rs, a[true])]]