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Proof step 46 from proof validrefs-addobj-01 (previous step)

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

User applied rule cut formula

And obtained the following new goals

Proof step 45:
fis .keys = instfields(class), unique_al(fis), is_obj(str, r, addobj(r, class, fis, st)), validFields(r, fis, addobj(r, class, fis, st)), newref(r, st), class+∃(str, class), validref(str, r, mkclasstype(class), addobj(r, class, fis, st)), mkfs(class0, ty0, fieldvar) ' × refval(r0) ∈ fis, mkfs(class0, ty0, fieldvar) ' ∈ instfields(class), validrefs(str, r0 ' + refs0, ty, st), validref(str, r0, ty0, addobj(r, class, fis, st)), is_valid_ref(str, r0, st), st[r0 -- _type] .type ≤ ty ⊦ r0 = r, r = jvmref, r0 = jvmref, validrefs(str, r0 ' + refs0, ty0, st), is_abstract(class), validrefs(str, r0 ' + refs0, ty0, addobj(r, class, fis, st))

Rule argument

[fma-arg: r0 = r]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ newref(r, st) → ¬ is_valid_ref(str, r, st)])], [EXTRAFMAS : (r0 = r)]]