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| Mirrors > Home > NFE Home > Th. List > nic-isw1 | Unicode version | ||
| Description: Inference version of nic-swap 1444. (Contributed by Jeff Hoffman, 17-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.) | 
| Ref | Expression | 
|---|---|
| nic-isw1.1 | 
 | 
| Ref | Expression | 
|---|---|
| nic-isw1 | 
 | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | nic-isw1.1 | 
. 2
 | |
| 2 | nic-swap 1444 | 
. 2
 | |
| 3 | 1, 2 | nic-mp 1436 | 
1
 | 
| Colors of variables: wff setvar class | 
| Syntax hints:     | 
| 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-an 360 df-nan 1288 | 
| This theorem is referenced by: nic-isw2 1446 nic-iimp1 1447 nic-iimp2 1448 nic-idel 1449 nic-ich 1450 nic-luk2 1457 | 
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