File: MP_TAC.doc

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\DOC MP_TAC

\TYPE {MP_TAC : thm_tactic}

\SYNOPSIS
Adds a theorem as an antecedent to the conclusion of the goal.

\KEYWORDS
tactic, modus, ponens, implication, antecedent.

\DESCRIBE
When applied to the theorem {A' |- s} and the goal {A ?- t}, the tactic
{MP_TAC} reduces the goal to {A ?- s ==> t}. Unless {A'} is a subset of
{A}, this is an invalid tactic.
{
       A ?- t
   ==============  MP_TAC (A' |- s)
    A ?- s ==> t
}

\FAILURE
Never fails.

\USES
For moving assumptions into the conclusion of the goal, which often makes it
easier to manipulate via {REWRITE_TAC} or decompose by {ANTS_TAC}.

\SEEALSO
MATCH_MP_TAC, MP, UNDISCH_TAC.

\ENDDOC