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Proof step 43 from proof nosharing-forward (previous step)

st[r -- _type] .type = mkclasstype(class), fs ' ∈ instfields(class), validrefnotnull(str, r, ty, st), hasSharing(st[r -- fs '] .refval, st) ⊦ r = jvmref, ∃ sks1, sks2. fits(r, sks1, st) ∧ fits(r, sks2, st) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ st[r -- sks1] .refval ≠ jvmref ∧ st[r -- sks1] = st[r -- sks2]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ hasSharing(r, st) ↔ (∃ sks1, sks2. fits(r, sks1, st) ∧ fits(r, sks2, st) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ st[r -- sks1] .refval ≠ jvmref ∧ st[r -- sks1] = st[r -- sks2])
Proof step 42:
st[r -- _type] .type = mkclasstype(class), fs ' ∈ instfields(class), validrefnotnull(str, r, ty, st), ∃ sks1, sks2. fits(st[r -- fs '] .refval, sks1, st) ∧ fits(st[r -- fs '] .refval, sks2, st) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ st[st[r -- fs '] .refval -- sks1] .refval ≠ jvmref ∧ st[st[r -- fs '] .refval -- sks1] = st[st[r -- fs '] .refval -- sks2] ⊦ r = jvmref, ∃ sks1, sks2. fits(r, sks1, st) ∧ fits(r, sks2, st) ∧ sks1 ≠ sks2 ∧ sks1 ≠ [] ∧ sks2 ≠ [] ∧ st[r -- sks1] .refval ≠ jvmref ∧ st[r -- sks1] = st[r -- sks2]

Rule argument

[crewrite-arg: hasSharing-def , F , [st, r] → [st, st[r -- fs '] .refval] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, st[r -- fs '] .refval)]]