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Proof step 23 from proof validrefs-put-array-badindex (previous step)

fs ' ∈ instfields(st[r0 -- _type] .type .class), is_referencevalue(st[r0 -- fs ']), validrefs(str, st[r0 -- fs '] .refval ' + refs, fs .type, st), i < 0, is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, ∀ i0, str0, ty0, st0, r1, val0. ¬ 0 ≤ i0 → (validrefs(str0, st[r0 -- fs '] .refval ' + refs, ty0, st0[r1 -- i0 ', val0]) ↔ validrefs(str0, st[r0 -- fs '] .refval ' + refs, ty0, st0)) ⊦ r0 = jvmref, ∃ fs0. fs0 ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- fs0 ']) ∧ st[r0 -- fs '] .refval = st[r0 -- fs0 '] .refval ∧ validrefs(str, st[r0 -- fs0 '] .refval ' + refs, fs0 .type, st[r -- i ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

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] → [fs, class, ty1, 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 : (fs, class, ty1, fieldvar)]]