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Proof step 93 from proof onlymod-is-update (previous step)

onlyModified(r, st0, st1), ∀ st1, r, st. # st < # st0 → (onlyModified(r, st, st1) → (∃ fis. st1 = update(r, fis, st) ∧ validFields(r, fis, st))) ⊦ ∀ rk. (rk ∈ st0 ↔ rk ∈ st1) ∧ st0[rk] = st1[rk], ∃ fis. st1 = update(r, fis, st0) ∧ validFields(r, fis, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 92:
onlyModified(r, st0, st1), ∀ st1, r, st. # st < # st0 → (onlyModified(r, st, st1) → (∃ fis. st1 = update(r, fis, st) ∧ validFields(r, fis, st))) ⊦ ∃ fis. st1 = update(r, fis, st0) ∧ validFields(r, fis, st0), (rk ∈ st0 → rk ∈ st1) ∧ st0[rk] = st1[rk]

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ ¬ rk ∈ st ∧ onlyModified(r, st, st0) → ¬ rk ∈ st0])]]