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Proof step 3 from proof getarray-union-01 (previous step)

r -- _length ∈ st ∧ 0 < st[r -- _length] .intval ∧ st[r -- _length] .intval ≤ st[r -- _length] .intval ∧ (∀ i1. 0 ≤ i1 ∧ i1 < st[r -- _length] .intval → r -- i1 ' ∈ st) → getarray(r, 0, st[r -- _length] .intval, st0 ∪ st) = getarray(r, 0, st[r -- _length] .intval, st), r -- _length ∈ st, r ∈ st, 0 < st[r -- _length] .intval, ∀ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i → r -- i ' ∈ st ⊦ getarray(r, 0, st[r -- _length] .intval, st0 ∪ st) = getarray(r, 0, st[r -- _length] .intval, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
r -- _length ∈ st, r ∈ st, 0 < st[r -- _length] .intval, i < st[r -- _length] .intval, 0 ≤ i, ∀ i. ¬ i < 0 ∧ ¬ st[r -- _length] .intval ≤ i → r -- i ' ∈ st ⊦ getarray(r, 0, st[r -- _length] .intval, st0 ∪ st) = getarray(r, 0, st[r -- _length] .intval, st), r -- i ' ∈ st

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ ¬ i < i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i])]]