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Proof step 4 from proof datasize-ls-samedata-h (previous step)

# buf0 = # buf1, datasize(buf0, m) < datasize(buf1, m), range=(buf0, 0, buf1, 0, datasize(buf1, # buf1)), m ≤ # buf1 ⊦

User applied rule structural induction

And obtained the following new goals

Proof step 5:
⊦ datasize(buf, 0) = 0
Proof step 6:
# buf0 = # buf1, datasize(buf0, m0 +1) < datasize(buf1, m0 +1), range=(buf0, 0, buf1, 0, datasize(buf1, # buf1)), m0 +1 ≤ # buf1, ∀ buf0, buf1. ¬(# buf0 = # buf1 ∧ datasize(buf0, m0) < datasize(buf1, m0) ∧ range=(buf0, 0, buf1, 0, datasize(buf1, # buf1)) ∧ m0 ≤ # buf1) ⊦

Rule argument

indvar: m

Additional information

Used simplifier rules: datasize-base: ⊦ datasize(buf, 0) = 0;%nat freely generated by 0, +1;;% ⊦ 0 ≤ m; (s)