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Proof step 16 from proof sharing-pathex-field-self-01 (previous step)

st[r0 -- fs '] = refval(r0), validrefs(str, r0 ', mkclasstype(`java.lang.Object' .class), st), fs ' ∈ instfields(st[r0 -- _type] .type .class), is_classtype(st[r0 -- _type] .type) ⊦ r0 = jvmref, hasSharing(r0, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty
Proof step 15:
st[r0 -- fs '] = refval(r0), r0 = jvmref ∨ r0 ≠ jvmref ∧ is_valid_ref(str, r0, st) ∧ st[r0 -- _type] .type ≤ mkclasstype(`java.lang.Object' .class), fs ' ∈ instfields(st[r0 -- _type] .type .class), is_classtype(st[r0 -- _type] .type) ⊦ r0 = jvmref, hasSharing(r0, st)

Rule argument

[x0lemmaarg: spec-name: cyclic instance-name: lemma-name: validrefs-one antecedent: succedent: validrefs(str, r ', ty, st) ↔ r = jvmref ∨ r ≠ jvmref ∧ is_valid_ref(str, r, st) ∧ st[r -- _type] .type ≤ ty substlist: [st, ty, r, str] → [st, mkclasstype(`java.lang.Object' .class), r0, str] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((0, 0, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkclasstype(`java.lang.Object' .class), r0, str)]]