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Proof step 37 from proof shiftright-rec-pos (previous step)

mklist(false, i→n(i0)) + false ' + false ' + true ' = false ' + bits0, mklist(false, i→n(i0)) + false ' = false ' + bits, true ∈ bits0, 0 ≤ i0 ⊦ bits2uint(bits0.first ') = 0, bits0 = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 38:
bits0 = boolvar + bits1, mklist(false, i→n(i0)) + false ' + false ' + true ' = false ' + bits0, mklist(false, i→n(i0)) + false ' = false ' + bits, true ∈ bits0, 0 ≤ i0 ⊦ bits2uint(boolvar ') = 0, bits0 = []

Rule argument

seq: bits ≠ [] ⊦ (boolvar ↔ bits.first) ∧ bits0 = bits.rest ↔ bits = boolvar + bits0 subst: [bits, boolvar, bits0] → [bits0, boolvar, bits1] rotate: T spec: list-data inst: bitlista name: elim-list-c

Additional information

Used simplifier rules: bits ≠ [] ⊦ (boolvar ↔ bits.first) ∧ bits0 = bits.rest ↔ bits = boolvar + bits0; (elim) Used terms: bits0, boolvar, bits1