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Proof step 7 from proof putar-in-02 (previous step)

j ' ≠ i ', ∀ r0, j0, i0, st0. r0 -- j0 ' ∈ putArray(vals0, r0, i0, st0) ↔ r0 -- j0 ' ∈ st0 ∨ i0 ≤ j0 ∧ j0 < i0 + n→i(# vals0) ⊦ r -- j ' ∈ putArray(vals0, r, i + 1, st) ↔ r -- j ' ∈ st ∨ ¬ n→i(# vals0) + i < j ∧ ¬ j < i

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
∀ r0, j0, i0, st0. r0 -- j0 ' ∈ putArray(vals0, r0, i0, st0) ↔ r0 -- j0 ' ∈ st0 ∨ i0 ≤ j0 ∧ j0 < i0 + n→i(# vals0) ⊦ r -- j ' ∈ putArray(vals0, r, i + 1, st) ↔ r -- j ' ∈ st ∨ ¬ n→i(# vals0) + i < j ∧ ¬ j < i, j = i

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ' = i0 ' ↔ i = i0])]]