jcai - New Foundations Explorer

	New Foundations Explorer		< Previous Next > Nearby theorems
Mirrors > Home > NFE Home > Th. List > jcai		Unicode version

Theorem jcai 522

Description: Deduction replacing implication with conjunction. (Contributed by NM, 5-Aug-1993.)

**Hypotheses**
Ref	Expression
jcai.1
jcai.2

**Assertion**
Ref	Expression
jcai	$/\$

**Proof of Theorem jcai**
Step	Hyp	Ref	Expression
1		jcai.1	. 2
2		jcai.2	. . 3
3	1, 2	mpd 14	. 2
4	1, 3	jca 518	1 $/\$

Colors of variables: wff setvar class

Syntax hints:

wi 4 $/\$ wa 358

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

This theorem depends on definitions: df-bi 177 df-an 360

This theorem is referenced by: reu6 3025 opkthg 4131 f1o2d 5727 enprmaplem5 6080 nchoicelem17 6305