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Proof step 71 from proof validrefs-addobj-01 (previous step)

fis .keys = instfields(class), unique_al(fis), 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)), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), class+∃(str, class), r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class)) ∈ addobj(r, class, fis, st) ∧ goodfieldsandtypes(r, instfields(class), addobj(r, class, fis, st)) ⊦ r0 ' + refs0 = jvmref ', r = jvmref, is_reftype(ty0), is_abstract(class)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 70:
fis .keys = instfields(class), unique_al(fis), 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)), newref(r, st), validFields(r, fis, addobj(r, class, fis, st)), class+∃(str, class), goodfieldsandtypes(r, instfields(class), addobj(r, class, fis, st)) ⊦ r0 ' + refs0 = jvmref ', r = jvmref, is_reftype(ty0), is_abstract(class)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ¬ _type ∈ fis ⊦ (r -- _type) × typeval(mkclasstype(class1)) ∈ addobj(r, class1, fis, st)], [CSIMPSEQ : ⊦ fis .keys = instfields(class) → ¬ _type ∈ fis])]]