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Theorem mprg 2683

Description: Modus ponens combined with restricted generalization. (Contributed by NM, 10-Aug-2004.)

**Hypotheses**
Ref	Expression
mprg.1
mprg.2

**Assertion**
Ref	Expression
mprg

**Proof of Theorem mprg**
Step	Hyp	Ref	Expression
1		mprg.2	. . 3
2	1	rgen 2679	. 2
3		mprg.1	. 2
4	2, 3	ax-mp 8	1

Colors of variables: wff setvar class

Syntax hints:

wi 4

wcel 1710

wral 2614

This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546

This theorem depends on definitions: df-bi 177 df-ral 2619

This theorem is referenced by: reximia 2719 rmoimia 3036 iuneq2i 3987 iineq2i 3988 dfiun2 4001 dfiin2 4002 fnpw1fn 5853 dfnnc3 5885 enmap2lem2 6064 enmap1lem2 6070 enprmaplem2 6077 enprmaplem5 6080 fntcfn 6245 fnspac 6283 fnfreclem3 6319