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Proof step 14 from proof validrefs-set-null (previous step)

refs0 = r0 + refs, r0 = st[r -- fs0 '] .refval, validrefs(str, refs0, fs0 .type, st), is_referencevalue(st[r -- fs0 ']), fs0 ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_reftype(fs .type), is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class) ⊦ refs0 = [], r = jvmref, _type = fs ', validrefs(str, r ' + jvmref ', ty, st[r -- fs ', refval(jvmref)]), is_obj(str, r, st[r -- fs ', refval(jvmref)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
is_referencevalue(st[r -- fs0 ']), fs0 ' ∈ instfields(st[r -- _type] .type .class), st[r -- _type] .type ≤ ty, is_reftype(fs .type), is_obj(str, r, st), fs ' ∈ instfields(st[r -- _type] .type .class), validrefs(str, st[r -- fs0 '] .refval ' + refs, fs0 .type, st) ⊦ r = jvmref, _type = fs ', validrefs(str, r ' + jvmref ', ty, st[r -- fs ', refval(jvmref)]), is_obj(str, r, st[r -- fs ', refval(jvmref)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]