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Proof step 5 from proof datsize-write-higher (conclusion)

⊦ m + n ≤ # buf ∧ n ≤ # buf0 ∧ ¬ m < datasize(buf) → (datasize(copy(buf0, 0, buf, m, n)) < datasize(buf) ↔ false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 1:
⊦ datasize(buf) = datasize(buf, # buf)

Rule argument

Additional information

[Concretesimprules((Csimpnamedseq(datasize,,, ⊦ datasize(buf) = datasize(buf, # buf)) Csimpnamedforward(nat-basic1,,f, ⊦ m < n → n ≠ 0) Csimpnamedforward(nat,,fle, ⊦ m < n ∧ n ≤ n0 → m < n0) Csimpnamedseq(nat,,lels, ⊦ ¬ m < n ↔ n ≤ m) Csimpnamedseq(array-copy,buffer,size-copy, ⊦ # copy(buf, m, buf0, m0, n) = # buf0)))]