3impib - New Foundations Explorer

	New Foundations Explorer		< Previous Next > Nearby theorems
Mirrors > Home > NFE Home > Th. List > 3impib		Unicode version

Theorem 3impib 1149

Description: Importation to triple conjunction. (Contributed by NM, 13-Jun-2006.)

**Hypothesis**
Ref	Expression
3impib.1	$/\$

**Assertion**
Ref	Expression
3impib	$/\$ $/\$

**Proof of Theorem 3impib**
Step	Hyp	Ref	Expression
1		3impib.1	. . 3 $/\$
2	1	exp3a 425	. 2
3	2	3imp 1145	1 $/\$ $/\$

Colors of variables: wff setvar class

Syntax hints:

wi 4 $/\$ wa 358 $/\$ w3a 934

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 df-3an 936

This theorem is referenced by: mob 3018 eqreu 3028 dedth3h 3705 peano5 4409 ncfinraise 4481 ncfinlower 4483 nnpweq 4523 spfininduct 4540 clos1induct 5880 3ecoptocl 5998 sbthlem2 6204