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Proof step 104 from proof onlymod-is-update (previous step)

∀ r, st0. validFields(r, fis0, st0) → onlyModified(r, st0, update(r, fis0, st0)), validFields(r, fv + fis0, st0) ⊦ onlyModified(r, st0, update(r, fv + fis0, st0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 99:
⊦ update(r, fv ' + fis, st) = (update(r, fis, st)[r -- fv .1, fv .2])
Proof step 103:
validFields(r, fv ' + fis0, st0), ∀ r, st0. validFields(r, fis0, st0) → onlyModified(r, st0, update(r, fis0, st0)) ⊦ onlyModified(r, st0, update(r, fis0, st0)[r -- fv .1, fv .2])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (fis + fis0) + fis1 = fis + fis0 + fis1], [CSIMPSEQ : ⊦ fv + fis = fv ' + fis])]]