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Proof step 7 from proof extension-01 (previous step)

⊦ st[r -- _length] .intval ≤ 0 ∧ st0[r0 -- _length] .intval ≤ 0 ∨ 0 ≤ st[r -- _length] .intval ∧ st[r -- _length] .intval = st0[r0 -- _length] .intval ∧ (∀ j1. 0 ≤ j1 ∧ j1 < st[r -- _length] .intval → st[r -- (0 + j1) '] .byteval = st0[r0 -- (0 + j1) '] .byteval) ↔ ¬ st[r -- _length] .intval < 0 ∧ st[r -- _length] .intval = st0[r0 -- _length] .intval ∧ (∀ j1. 0 ≤ j1 ∧ j1 < st[r -- _length] .intval → st[r -- j1 '] .byteval = st0[r0 -- j1 '] .byteval) ∨ ¬ 0 < st[r -- _length] .intval ∧ ¬ 0 < st0[r0 -- _length] .intval

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
st[r -- _length] .intval ≤ 0 ∧ st0[r0 -- _length] .intval ≤ 0 ∨ 0 ≤ st[r -- _length] .intval ∧ st[r -- _length] .intval = st0[r0 -- _length] .intval ∧ (∀ j. ¬ j < 0 ∧ ¬ st[r -- _length] .intval ≤ j → st[r -- j '] .byteval = st0[r0 -- j '] .byteval) ⊦ ¬ st[r -- _length] .intval < 0 ∧ st[r -- _length] .intval = st0[r0 -- _length] .intval ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → st[r -- j '] .byteval = st0[r0 -- j '] .byteval), ¬ 0 < st[r -- _length] .intval ∧ ¬ 0 < st0[r0 -- _length] .intval

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0], [CSIMPSEQ : ⊦ i + 0 = i], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]