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Proof step 8 from proof unchanged-lookup-generic (previous step)

st[r0 -- _type] = st0[r0 -- _type], st0[r0 -- _type] .type = mkclasstype(class), sk ∈ instfields(class), path∃(str, r, r0, st0), path∃(str, r, r0, st), sk .fs ' ∈ instfields(class) → st[r0 -- sk .fs '] = st0[r0 -- sk .fs '] ⊦ st[r0 -- sk] = st0[r0 -- sk], r0 = jvmref

User applied rule insert elim lemma

And closed the goal!

Rule argument

[x0lemmaarg: spec-name: storekey instance-name: lemma-name: elim-03 antecedent: succedent: is_fskey(sk) → (fs = sk .fs ↔ sk = fs ') substlist: [sk, fs] → [sk, fs] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: F replace all?: F paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : storekey, , test-05, ⊦ is_fskey(fs ')], [CSIMPNAMEDSEQ : storekey, , test-01, ⊦ ¬ is_fskey(sk) ↔ is_indexkey(sk)], [CSIMPNAMEDSEQ : addfuns, , instfields-index-01, ⊦ is_indexkey(sk) → ¬ sk ∈ instfields(class)], [CSIMPELIM : ⊦ is_fskey(sk) → (fs = sk .fs ↔ sk = fs ')])], [EXTRATERMS : (sk, fs)]]