ord - New Foundations Explorer

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

Theorem ord 366

Description: Deduce implication from disjunction. (Contributed by NM, 18-May-1994.)

**Hypothesis**
Ref	Expression
ord.1	$\/$

**Assertion**
Ref	Expression
ord

**Proof of Theorem ord**
Step	Hyp	Ref	Expression
1		ord.1	. 2 $\/$
2		df-or 359	. 2 $\/$
3	1, 2	sylib 188	1

Colors of variables: wff setvar class

Syntax hints:

wn 3

wi 4 $\/$ wo 357

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-or 359

This theorem is referenced by: orcanai 879 oplem1 930 ecase23d 1285 19.33b 1608 eqsn 3867 nnsucelr 4428 lenltfin 4469 vfin1cltv 4547 phi011lem1 4598 foconst 5280 nceleq 6149 addceq0 6219 ncslemuc 6255 nchoicelem8 6296