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Proof step 63 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, type∃(str, st[r1 -- _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), r1 = jvmref, r = r1, r = jvmref

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 62:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r1), is_classtype(st[r -- _type] .type), 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), type∃(str, st[r -- _type] .type), is_valid_ref(str, r1, st), st[r1 -- _type] .type ≤ ty1, type∃(str, st[r1 -- _type] .type) ⊦ r1 = jvmref, r = r1, r = jvmref, ¬ interface∃(str, st[r -- _type] .type .class) ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ st[r1 -- _type] .type ≤ fs .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_classtype(ty) → is_reftype(ty)])]]