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Proof step 5 from proof validrefs-not-in (previous step)

st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r2), validrefs(str, r2 ' + refs, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), ∀ r1, str0, ty1, st0. (r1 = r2 ∨ r1 ∈ refs) ∧ validrefs(str0, r2 ' + refs, ty1, st0) → r1 = jvmref ∨ is_valid_ref(r1, st0) ∧ type∃(str0, st0[r1 -- _type] .type) ⊦ r = jvmref, r0 = jvmref, r ≠ r0 ∧ r ≠ r2 ∧ ¬ r ∈ refs, is_valid_ref(r, st) ∧ type∃(str, st[r -- _type] .type)

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 6, [extquanttermlist: (r, str, ty0, st) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ is_valid_ref(r, st) → ¬ is_obj(str, r, st)], [CSIMPSEQ : ⊦ ¬ type∃ (str, st[r -- _type] .type) ∧ r ≠ jvmref → ¬ is_obj(str, r, st)])], [EXTRATERMS : (r, str, ty0, st)]]