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Proof step 44 from proof junkrefs-put-refval (previous step)

st[r1 -- mkfs(class0, ty2, fieldvar0) '] = refval(r3), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[r1 -- _type] .type .class), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), st[r0 -- _type] .type ≤ ty0, is_obj(r1, st), st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), junkrefs(str, r3 ' + refs, ty2, st[r1 -- mkfs(class, ty0, fieldvar) ', refval(r0)]), is_obj(str, r1, st), class0 ≠ class ∨ ty2 ≠ ty0 ∨ fieldvar0 ≠ fieldvar, ∀ str0, ty1, st0, r, r2, fs0. ¬ junkrefs(str0, r3 ' + refs, ty1, st0) ∧ ¬ junkref(str0, r, st0) ∧ is_obj(r2, st0) ∧ st0[r -- _type] .type ≤ fs0 .type ∧ r ≠ jvmref ∧ fs0 ' ∈ instfields(st0[r2 -- _type] .type .class) → ¬ junkrefs(str0, r3 ' + refs, ty1, st0[r2 -- fs0 ', refval(r)]) ⊦ _type = mkfs(class, ty0, fieldvar) ', r0 = jvmref, r1 = jvmref, junkrefs(str, st[r1 -- mkfs(class, ty0, fieldvar) '] .refval ' + refs, ty0, st), junkref(str, r0, st), junkrefs(str, r3 ' + refs, ty2, st)

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 11, [extquanttermlist: (str, ty2, st, r0, r1, mkfs(class, ty0, fieldvar)) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty])], [EXTRATERMS : (str, ty2, st, r0, r1, mkfs(class, ty0, fieldvar))]]