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Proof step 11 from proof validrefs-set-null (previous step)

is_referencevalue(st[r -- fs0 ']), fs0 ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_reftype(ty0), is_obj(str, r, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, st[r -- fs0 '] .refval ' + refs, fs0 .type, st) ⊦ r = jvmref, _type = mkfs(class, ty0, fieldvar) ', validrefs(str, r ' + jvmref ', ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), is_obj(str, r, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
fs0 = mkfs(class0, ty1, fieldvar0), is_referencevalue(st[r -- fs0 ']), fs0 ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_reftype(ty0), is_obj(str, r, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, st[r -- fs0 '] .refval ' + refs, ty1, st) ⊦ r = jvmref, _type = mkfs(class, ty0, fieldvar) ', validrefs(str, r ' + jvmref ', ty, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), is_obj(str, r, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)])

Rule argument

[speclemmaarg: , class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar) ,[fs, class, ty, fieldvar] → [fs0, class0, ty1, fieldvar0] ,T ,fieldspec , ,elim ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ class = fs .class ∧ ty = fs .type ∧ fieldvar = fs .field ↔ fs = mkfs(class, ty, fieldvar)])], [EXTRATERMS : (fs0, class0, ty1, fieldvar0)]]