[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 135 from proof fix-bits2bytes-01 (previous step)

# bits % 8 = 0, # bits < 8 * n, # bits2bytes(bits) < n ⊦ n * 8 = # bits, bits = [], mklist(i2b(0), n - # bits2bytes(bits)) = bits2bytes(mklist(false, n * 8 - # bits)), bits.first

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 136:
⊦ # bits % 8 = 0 ∧ bits ≠ [] → # bits2bytes(bits) = # bits / 8
Proof step 137:
# bits % 8 = 0 ∧ bits ≠ [], # bits % 8 = 0, # bits < 8 * n, # bits / 8 < n ⊦ n * 8 = # bits, bits = [], mklist(i2b(0), n - # bits / 8) = bits2bytes(mklist(false, n * 8 - # bits)), bits.first

Rule argument

name: bits2bytes-len-01 rotate: F subst: [bits] → [bits]

Additional information

Used terms: bits