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Proof step 30 from proof unchanged-rec-generic (previous step)

st[r -- sk] = refval(r0), unchanged(str, r, st, st0), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class) ⊦ r = jvmref, junkref(str, r, st), unchanged(str, r0, st, st0), sk ∈ instfields(st[r -- _type] .type .class) ∧ is_obj(str, r, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ sk .fs .type ∧ is_valid_ref(str, r0, st))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 29:
sk .fs = mkfs(class, ty, fieldvar), st[r -- sk] = refval(r0), unchanged(str, r, st, st0), is_arraytype(st[r -- _type] .type) → is_indexkey(sk) ∧ 0 ≤ sk .index ∧ sk .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk ∈ instfields(st[r -- _type] .type .class) ⊦ r = jvmref, junkref(str, r, st), unchanged(str, r0, st, st0), sk ∈ instfields(st[r -- _type] .type .class) ∧ is_obj(str, r, st) ∧ (r0 ≠ jvmref → st[r0 -- _type] .type ≤ ty ∧ is_valid_ref(str, r0, st))

Rule argument

[x0lemmaarg: spec-name: fieldspec instance-name: lemma-name: elim antecedent: succedent: class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) substlist: [fs, class, ty, fieldvar] → [sk .fs, class, ty, fieldvar] add preconditions?: F is rewrite lemma?: F current spec?: F rotate lemma?: T replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (sk .fs, class, ty, fieldvar)]]