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Proof step 62 from proof bitsand-cast-05 (previous step)

1 + # bits0 = # bits1, bitsand(false ' + bits0, bits1).first ⊦ sgn(bitsand(false ' + bits0, bits1)) = sgn(false ' + bitsand(false ' + bits0, bits1)), bits1 = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

seq: bits ≠ [] ⊦ (boolvar ↔ bits.first) ∧ bits0 = bits.rest ↔ bits = boolvar + bits0 subst: [bits, boolvar, bits0] → [bitsand(false ' + bits0, bits1), boolvar, bits] rotate: T spec: list-data inst: bitlista name: elim-list-c

Additional information

Used simplifier rules: and-notempty-02: ⊦ bits0 ≠ [] → bitsand(boolvar ' + bits, bits0) ≠ [];% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1;%bits ≠ [] ⊦ (boolvar ↔ bits.first) ∧ bits0 = bits.rest ↔ bits = boolvar + bits0; (elim) Used terms: bitsand(false ' + bits0, bits1), boolvar, bits