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Proof step 18 from proof datasize-append-h-new (previous step)

m ≤ # buf0 + # buf1 ⊦ datasize(buf0 + buf1, m) = (m ≤ # buf0 ∨ datasize(buf1, m - # buf0) = 0 ⊃ datasize(buf0, min(m, # buf0));# buf0 + datasize(buf1, m - # buf0))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
m ≤ # buf0 ⊦ datasize(buf0 + buf1, m) = datasize(buf0, m)

Rule argument

spec: inst: name: datasize-append-lower-h seq: m ≤ # buf0 ⊦ datasize(buf0 + buf1, m) = datasize(buf0, m) subst: [m, buf1, buf0] → [m, buf1, buf0] flags: rewrite, current

Additional information

[Concretesimprules((Csimpnamedseq(min-max,,min-le-left, ⊦ n0 ≤ n1 → min(n0, n1) = n0))), Extraterms((mbuf1buf0))]