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Proof step 4 from proof onlymod-put-01 (previous step)

rk ∈ st ↔ rk ∈ st0, r -- sk ∈ st0, r ∈ st0, ∀ rk. rk ∈ st ↔ rk ∈ st0[r -- sk, val], ∀ r0, sk0. r0 ≠ r → st[r0 -- sk0] = st0[r0 -- sk0], r -- _type ∈ st → st[r -- _type] = st0[r -- _type], r -- _length ∈ st → st[r -- _length] = st0[r -- _length] ⊦ sk = _length, sk = _type, st[r0 -- sk0] = st0[r0 -- sk0], r0 = r

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 5, [QUANTTERMLIST : (r0, sk0)]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r0, sk0)]]