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Proof step 26 from proof junkrefs-put-refval (previous step)

is_obj(str, r1, st), junkrefs(str, r3 ' + refs, ty0, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r3)]), st[r1 -- _type] .type ≤ ty, is_obj(r1, st), st[r3 -- _type] .type ≤ ty0, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), junkrefs(str, r3 ' + refs, ty0, st) ⊦ r1 = jvmref, r3 = jvmref, _type = mkfs(class, ty0, fieldvar) ', junkrefs(str, st[r1 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty0, st), ∃ refs0. refs0 ≠ [] ∧ refs0 .first = r3 ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st)

User applied rule exists right

And obtained the following new goals

Proof step 25:
⊦ junkrefs(str, refs, ty0, st) ∧ ty ≤ ty0 → junkrefs(str, refs, ty, st)

Rule argument

[EXRARG : pos: right 5, [extquanttermlist: (r3 ' + refs) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ (r ' + refs) .first = r])], [EXTRATERMS : (r3 ' + refs)]]