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Proof step 32 from proof validrefs-addobj-01 (previous step)

¬ newref(r0, addobj(r, class, fis, st)), fis .keys = instfields(class), st[r0 -- _type] .type ≤ ty, is_valid_ref(str, r0, st), validrefs(str, r0 ' + refs0, ty, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), class+∃(str, class), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), is_obj(str, r, addobj(r, class, fis, st)), unique_al(fis), validref(str, r0, ty0, addobj(r, class, fis, st)) ⊦ r0 = jvmref, r = jvmref, r0 = r, validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st)), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
fis .keys = instfields(class), st[r0 -- _type] .type ≤ ty, is_valid_ref(str, r0, st), validrefs(str, r0 ' + refs0, ty, st), mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), class+∃(str, class), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), is_obj(str, r, addobj(r, class, fis, st)), unique_al(fis), validref(str, r0, ty0, addobj(r, class, fis, st)) ⊦ r0 = jvmref, r = jvmref, r0 = r, validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st)), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, st), newref(r0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → ( newref (r0, addobj(r, class1, fis, st)) ↔ newref(r0, st))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]