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Proof step 12 from proof bitsor-sgn-in (previous step)

true ∈ bits ⊦ bits = [], bits0 = [], boolvar ∈ bitsor(true ', bits0) ↔ boolvar ∈ bitsor(bits, bits0), false ∈ bits

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ bits0 ≠ [] ∧ bits = true ' → bitsor(bits, bits0) = true '
Proof step 14:
bits0 ≠ [] ∧ true ' = true ', true ∈ bits ⊦ bits = [], bits0 = [], boolvar ∈ true ' ↔ boolvar ∈ bitsor(bits, bits0), false ∈ bits

Rule argument

name: or-rec-03 rotate: F subst: [bits0, bits] → [bits0, true ']

Additional information

Used terms: bits0, true '