MP : (thm -> thm -> thm)
SYNOPSIS
Implements the Modus Ponens inference rule.
DESCRIBE
When applied to theorems
A1 |- t1 ==> t2
and
A2 |- t1
, the inference rule
MP
returns the theorem
A1 u A2 |- t2
.
A1 |- t1 ==> t2 A2 |- t1 ---------------------------- MP A1 u A2 |- t2
FAILURE
Fails unless the first theorem is an implication whose antecedent is the same as the conclusion of the second theorem (up to alpha-conversion).
SEEALSO
EQ_MP
,
LIST_MP
,
MATCH_MP
,
MATCH_MP_TAC
,
MP_TAC
HOL
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