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Proof step 13 from proof bits2int-ones-02 (previous step)

bits.first ⊦ bits + bits0 = [], bits = [], 2 ^ n→i(# bits0) = bits2uint((bitsinvert(bits).butlast + true ') + bits0), false ∈ bits, true ∈ bits0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ (bits + bits0) + bits1 = bits + bits0 + bits1
Proof step 15:
bits.first ⊦ bits + bits0 = [], bits = [], 2 ^ n→i(# bits0) = bits2uint(bitsinvert(bits).butlast + true ' + bits0), false ∈ bits, true ∈ bits0

Rule argument

seq: ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1 subst: [bits1, bits0, bits] → [bits0, true ', bitsinvert(bits).butlast] rotate: F spec: list inst: bitlista name: a

Additional information

Used terms: bits0, true ', bitsinvert(bits).butlast