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Proof step 44 from proof addarray-identity (previous step)

¬ rk .ref ≠ r, 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 43:
st[rk .ref -- _type] .type = mkarraytype(ty), is_array(rk .ref, st) ⊦ (rk ∈ addarray(rk .ref, ty, getarray(rk .ref, st), st) → rk ∈ st) ∧ (addarray(rk .ref, ty, getarray(rk .ref, st), st)[rk]) = st[rk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]