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Proof step 25 from proof junkref-addarray-04 (previous step)

vals[i→n(i)] = refval(r0), 0 ≤ i, i < n→i(# vals), is_array(str, r, addarray(r, ty, vals, st)), is_reftype(ty), type∃(str, ty), newref(r, st), ¬ (addarray(r, ty, vals, st)[r0 -- _type]) .type ≤ ty ∨ junkref(str, r0, addarray(r, ty, vals, st)), refval(r0) ∈ vals → validref(str, r0, ty, st) ⊦ r0 = jvmref, r = jvmref, ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, vals = []

User applied rule cut formula

And obtained the following new goals

Proof step 17:
refval(r0) ∈ vals, vals[i→n(i)] = refval(r0), 0 ≤ i, i < n→i(# vals), is_array(str, r, addarray(r, ty, vals, st)), is_reftype(ty), type∃(str, ty), newref(r, st), ¬ (addarray(r, ty, vals, st)[r0 -- _type]) .type ≤ ty ∨ junkref(str, r0, addarray(r, ty, vals, st)), refval(r0) ∈ vals → validref(str, r0, ty, st) ⊦ r0 = jvmref, r = jvmref, ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, vals = []
Proof step 24:
vals[i→n(i)] = refval(r0), 0 ≤ i, i < n→i(# vals), is_array(str, r, addarray(r, ty, vals, st)), is_reftype(ty), type∃(str, ty), newref(r, st), ¬ (addarray(r, ty, vals, st)[r0 -- _type]) .type ≤ ty ∨ junkref(str, r0, addarray(r, ty, vals, st)), refval(r0) ∈ vals → validref(str, r0, ty, st) ⊦ refval(r0) ∈ vals, r0 = jvmref, r = jvmref, ty .jtelemtype = abstract_type, ty .jtelemtype = void_type, vals = []

Rule argument

[fma-arg: refval(r0) ∈ vals]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (refval(r0) ∈ vals)]]