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Proof step 42 from proof addarray-identity (previous step)

rk = r -- sk, st[r -- _type] .type = mkarraytype(ty), is_array(r, st) ⊦ (rk ∈ addarray(r, ty, getarray(r, st), st) → rk ∈ st) ∧ (addarray(r, ty, getarray(r, st), st)[rk]) = st[rk]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
st[r -- _type] .type = mkarraytype(ty), is_array(r, st) ⊦ (r -- sk ∈ addarray(r, ty, getarray(r, st), st) → r -- sk ∈ st) ∧ (addarray(r, ty, getarray(r, st), st)[r -- sk]) = st[r -- sk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]