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Proof step 95 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))) ⊦ ∃ fis. st1 = update(r, fis, st0) ∧ validFields(r, fis, st0)

User applied rule cut formula

And obtained the following new goals

Proof step 4:
st0 = st1, 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)
Proof step 94:
onlyModified(r, st0, st1), ∀ st1, r, st. # st < # st0 → (onlyModified(r, st, st1) → (∃ fis. st1 = update(r, fis, st) ∧ validFields(r, fis, st))) ⊦ st0 = st1, ∃ fis. st1 = update(r, fis, st0) ∧ validFields(r, fis, st0)

Rule argument

[fma-arg: st0 = st1]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (st0 = st1)]]