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Proof step 2 from proof uint2bits-sgn-first (previous step)

sgn(bitsinvert(uint2bits(j)) +1) = false ' + bits, 0 < j ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ bits.first ∧ bits ≠ [] → sgn(bits) ≠ false ' + bits0
Proof step 4:
¬(bitsinvert(uint2bits(j)) +1.first ∧ bitsinvert(uint2bits(j)) +1 ≠ []), sgn(bitsinvert(uint2bits(j)) +1) = false ' + bits, 0 < j ⊦

Rule argument

seq: ⊦ bits.first ∧ bits ≠ [] → sgn(bits) ≠ false ' + bits0 subst: [bits0, bits] → [bits, bitsinvert(uint2bits(j)) +1] rotate: F spec: bitopsaux inst: name: sgn-first-04

Additional information

Used terms: bits, bitsinvert(uint2bits(j)) +1