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Proof step 66 from proof validrefs-not-contains (previous step)

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r1 ' + refs0 + r1 ', ty1, st), is_reftype(st[r -- _type] .type), type∃(str, st[r -- _type] .type), is_valid_ref(str, r1, st), st[r1 -- _type] .type ≤ ty1 ⊦ r1 = jvmref, r = r1, r = jvmref, ∃ ty1. ty1 ≤ st[r -- _type] .type ∧ type∃(str, ty1) ∧ (is_classtype(ty1) → ¬ interface∃(str, ty1 .class) ∧ (∃ fs. fs ' ∈ instfields(ty1 .class) ∧ st[r1 -- _type] .type ≤ fs .type)) ∧ (is_arraytype(ty1) → st[r1 -- _type] .type ≤ ty1 .type) ∧ type∃(str, st[r1 -- _type] .type)

User applied rule exists right

And obtained the following new goals

Proof step 65:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, r1 ' + refs0 + r1 ', ty1, st), is_reftype(st[r -- _type] .type), type∃(str, st[r -- _type] .type), is_valid_ref(str, r1, st), st[r1 -- _type] .type ≤ ty1 ⊦ r1 = jvmref, r = r1, r = jvmref, st[r -- _type] .type ≤ st[r -- _type] .type ∧ type∃(str, st[r -- _type] .type) ∧ ( is_classtype(st[r -- _type] .type) → ¬ interface∃(str, st[r -- _type] .type .class) ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ st[r1 -- _type] .type ≤ fs .type)) ∧ (is_arraytype(st[r -- _type] .type) → st[r1 -- _type] .type ≤ st[r -- _type] .type .type) ∧ type∃(str, st[r1 -- _type] .type)

Rule argument

[EXRARG : pos: right 4, [extquanttermlist: (st[r -- _type] .type) abort:F , discard:T , computed:T ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r -- _type] .type)]]