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Proof step 89 from proof onlymod-is-update (previous step)

(∀ rk. rk ∈ st0 ↔ rk ∈ st1) ∧ (∀ r0, sk. r0 ≠ r → st0[r0 -- sk] = st1[r0 -- sk]) ∧ (r -- _type ∈ st0 → st0[r -- _type] = st1[r -- _type]) ∧ (r -- _length ∈ st0 → st0[r -- _length] = st1[r -- _length]), ∀ st1, r, st. # st < # st0 → (onlyModified(r, st, st1) → (∃ fis. st1 = update(r, fis, st) ∧ validFields(r, fis, st))) ⊦ noval = st1[rk], rk ∈ st0, ∃ fis. st1 = update(r, fis, st0) ∧ validFields(r, fis, st0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 88:
r -- _length ∈ st0 → st0[r -- _length] = st1[r -- _length], r -- _type ∈ st0 → st0[r -- _type] = st1[r -- _type], ∀ r0, sk. r0 ≠ r → st0[r0 -- sk] = st1[r0 -- sk], ∀ rk. rk ∈ st0 ↔ rk ∈ st1, ∀ st1, r, st. # st < # st0 → (onlyModified(r, st, st1) → (∃ fis. st1 = update(r, fis, st) ∧ validFields(r, fis, st))) ⊦ noval = st1[rk], rk ∈ st0, ∃ fis. st1 = update(r, fis, st0) ∧ validFields(r, fis, st0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]