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Proof step 40 from proof addarray-identity (previous step)

r ≠ r ∨ r = r ∧ is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type ∨ r = r ∧ is_indexkey(sk) ∧ (sk .index < 0 ∨ n→i(# getarray(r, st)) ≤ sk .index), st[r -- _type] .type = mkarraytype(ty), is_array(r, st) ⊦ (r -- sk ∈ addarray(r, ty, getarray(r, st), st) → r -- sk ∈ st) ∧ st[r -- sk] = st[r -- sk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 37:
⊦ r ∈ addarray(r, ty0, vals, st)
Proof step 39:
st[r -- _type] .type = mkarraytype(ty), r -- sk ∈ addarray(r, ty, getarray(r, st), st), is_array(r, st), is_fskey(sk) ∧ sk ≠ _length ∧ sk ≠ _type ∨ is_indexkey(sk) ∧ (sk .index < 0 ∨ n→i(# getarray(r, st)) ≤ sk .index) ⊦ r -- sk ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st])]]