File: CONJ_CANON_CONV.doc

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\DOC CONJ_CANON_CONV

\TYPE {CONJ_CANON_CONV : term -> thm}

\SYNOPSIS
Puts an iterated conjunction in canonical form.

\DESCRIBE
When applied to a term, {CONJ_CANON_CONV} splits it into the set of conjuncts
and produces a theorem asserting the equivalence of the term and the new term
with the disjuncts right-associated without repetitions and in a canonical
order.

\FAILURE
Fails if applied to a non-Boolean term. If applied to a term that is not a
conjunction, it will trivially work in the sense of regarding it as a single
conjunct and returning a reflexive theorem.

\EXAMPLE
{
  # CONJ_CANON_CONV `(a /\ b) /\ ((b /\ d) /\ a) /\ c`;;
  val it : thm = |- (a /\ b) /\ ((b /\ d) /\ a) /\ c <=> a /\ b /\ c /\ d
}

\SEEALSO
AC, CONJ_ACI_CONV, DISJ_CANON_CONV.

\ENDDOC