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Proof step 24 from proof fill-lastn-03 (previous step)

m ≤ (m - # bits) + # bits, # bits ≤ n, m ≤ n, # bits ≤ m, m ≤ (n - # bits) + # bits ⊦ restn((n - # bits) + # bits - m, mklist(bits.first, n - # bits) + bits) = restn((m - # bits) + # bits - m, mklist(bits.first, m - # bits) + bits), bits = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 25:
n ≤ m ⊦ (m - n) + n = m
Proof step 26:
# bits ≤ n, m ≤ (m - # bits) + # bits, # bits ≤ n, m ≤ n, # bits ≤ m, m ≤ n ⊦ restn(n - m, mklist(bits.first, n - # bits) + bits) = restn((m - # bits) + # bits - m, mklist(bits.first, m - # bits) + bits), bits = []

Rule argument

seq: n ≤ m ⊦ (m - n) + n = m subst: [n, m] → [# bits, n] rotate: F spec: nat inst: name: prop-01

Additional information

Used terms: # bits, n