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Proof step 60 from proof sharing-pathex-field-self-01 (previous step)

∃ sks. fits((r ' + refs0) .first, sks, st) ∧ 1 + # sks = # (r ' + refs0) ∧ (∀ n. 0 < n ∧ n ≤ # sks → st[(r ' + refs0) .first -- firstn(n, sks)] .refval = (r ' + refs0)[n]), st[refs0 .last -- _type] .type = mkclasstype(class), st[refs0 .last -- fs '] = refval(r), fs ' ∈ instfields(class), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st) ⊦ refs0 .last = jvmref, refs0 = [], hasSharing(refs0 .last, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 59:
st[refs0 .last -- _type] .type = mkclasstype(class), st[refs0 .last -- fs '] = refval(r), # sks = # refs0, fs ' ∈ instfields(class), validrefs(str, r ' + refs0, mkclasstype(`java.lang.Object' .class), st), fits(r, sks, st), ∀ n. n ≠ 0 ∧ ¬ # refs0 < n → st[r -- firstn(n, sks)] .refval = (r ' + refs0)[n] ⊦ refs0 .last = jvmref, refs0 = [], hasSharing(refs0 .last, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : nat, , lels-01, ⊦ ¬ m ≤ n ↔ n < m], [CSIMPNAMEDSEQ : nat-basic1, , z, ⊦ 0 < n ↔ n ≠ 0], [CSIMPNAMEDSEQ : list, references, c-08, ⊦ (r ' + refs) .first = r], [CSIMPNAMEDSEQ : nat-basic2, , c, ⊦ m + n = n + m], [CSIMPNAMEDSEQ : nat-basic2, , a, ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPNAMEDSEQ : nat-basic2, , eq-01, ⊦ m + n = m + n0 ↔ n = n0], [CSIMPNAMEDSEQ : list, references, a, ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPNAMEDSEQ : list, references, len-02, ⊦ # r ' = 0 +1], [CSIMPNAMEDSEQ : list, references, len, ⊦ # (refs + refs0) = # refs + # refs0])]]