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Proof step 24 from proof validrefs-lastelem (previous step)

acc = [], acc + r ' = r1 ' + refs, st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), is_obj(str, r0, st), st[r0 -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), validrefs(str, r1 ' + refs, ty0, st), ∀ str, ty, st, r. validrefs(str, acc, ty, st) ∧ validrefs(str, acc + r ', ty, st) → acc = [] ∨ has_reffield(acc .last, st), acc = [] ∨ mkfs(class0, ty1, fieldvar0) ' ∈ instfields(st[r0 -- _type] .type .class) ∧ is_referencevalue(st[r0 -- mkfs(class0, ty1, fieldvar0) ']) ∧ acc .first = st[r0 -- mkfs(class0, ty1, fieldvar0) '] .refval ∧ validrefs(str, acc, ty1, st) ⊦ r0 = jvmref, has_reffield((r0 ' + acc) .last, st), r ≠ r1 ∧ ¬ r ∈ refs, ¬ r1 ∈ acc ∧ r1 ≠ r

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ validrefs(str, [], ty, st)
Proof step 23:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), validrefs(str, r1 ', ty0, st) ⊦ r0 = jvmref, has_reffield(r0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ r ∈ []], [CSIMPSEQ : ⊦ r ' .last = r], [CSIMPSEQ : ⊦ refs + [] = refs], [CSIMPSEQ : ⊦ r ' = r0 ' + refs ↔ r = r0 ∧ refs = []], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ [] + refs = refs])]]