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Theorem anmp 1516

Description: Modus ponens for $\/$

axiom systems. (Contributed by Anthony Hart, 12-Aug-2011.) (Proof modification is discouraged.) (New usage is discouraged.)

**Hypotheses**
Ref	Expression
anmp.min
anmp.maj	$\/$

**Assertion**
Ref	Expression
anmp

**Proof of Theorem anmp**
Step	Hyp	Ref	Expression
1		anmp.min	. 2
2		anmp.maj	. . 3 $\/$
3	2	imorri 403	. 2
4	1, 3	ax-mp 5	1

Colors of variables: wff setvar class

Syntax hints:

wn 3 $\/$ wo 357

This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8

This theorem depends on definitions: df-bi 177 df-or 359

This theorem is referenced by: rbsyl 1521 rblem1 1522 rblem2 1523 rblem4 1525 rblem5 1526 rblem6 1527 rblem7 1528 re1axmp 1529 re2luk1 1530 re2luk2 1531 re2luk3 1532