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Proof step 10 from proof succ-first-01 (previous step)

true ' +1 + bitsinvert(bits0) = false ' + bits, true ∈ bits ⊦ false ∈ bits0, ¬ false ∈ true ' +1 ∧ ¬ true ∈ bits0, ¬ true ∈ bits0 ∧ ¬ false ∈ true ' +1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ bits = true ' → bits +1 = true + false

Rule argument

name: succ-one-01 rotate: F subst: [bits] → [true ']

Additional information

Used simplifier rules: ⊦ boolvar + boolvar0 = boolvar ' + boolvar0 ';%⊦ boolvar ' + bits = boolvar0 ' + bits0 ↔ (boolvar ↔ boolvar0) ∧ bits = bits0;% ⊦ (bits + bits0) + bits1 = bits + bits0 + bits1; Used terms: true '