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Proof step 9 from proof validrefs-postfix (previous step)

acc + r0 ' = r1 ' + refs1, st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, acc + r0 ' + refs, ty0, st), ∀ str, refs0, st, ty. ¬ validrefs(str, refs0, st[refs0 .first -- _type] .type, st) ∧ refs0 ≠ [] → ¬ validrefs(str, acc + refs0, ty, st) ⊦ r = jvmref, validrefs(str, r0 ' + refs, st[r0 -- _type] .type, st), r0 ≠ r1 ∧ ¬ r0 ∈ refs1, ¬ r1 ∈ acc ∧ r1 ≠ r0

User applied rule all left

And obtained the following new goals

Rule argument

[EXRARG : pos: left 7, [extquanttermlist: (str, r0 ' + refs, st, ty0) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ' ≠ []])], [EXTRATERMS : (str, r0 ' + refs, st, ty0)]]