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Proof step 5 from proof splice-resize-less (previous step)

⊦ m0 = 0, resize(splice(ar0, n0, ar1, n1, m0), n2 + n1) = resize(splice(ar0, n0, ar1, n1, min(m0, n2)), n2 + n1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ min(n, m) = (n < m ⊃ n;m)
Proof step 7:
⊦ m0 = 0, resize(splice(ar0, n0, ar1, n1, m0), n2 + n1) = resize(splice(ar0, n0, ar1, n1, (m0 < n2 ⊃ m0;n2)), n2 + n1)

Rule argument

spec: min-max name: min seq: ⊦ min(n, m) = (n < m ⊃ n;m) subst: [m, n] → [n2, m0] flags: <all paths>

Additional information

Used terms: n2, m0