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Mirrors > Home > NFE Home > Th. List > nic-bi2 | Unicode version |
Description: Inference to extract the other side of an implication from a 'biconditional' definition. (Contributed by Jeff Hoffman, 18-Nov-2007.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
nic-bi2.1 |
Ref | Expression |
---|---|
nic-bi2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nic-bi2.1 | . . . 4 | |
2 | 1 | nic-isw2 1446 | . . 3 |
3 | nic-id 1443 | . . 3 | |
4 | 2, 3 | nic-iimp1 1447 | . 2 |
5 | 4 | nic-idel 1449 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wnan 1287 |
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-nan 1288 |
This theorem is referenced by: nic-stdmp 1455 nic-luk1 1456 nic-luk2 1457 nic-luk3 1458 |
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