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Mirrors > Home > MPE Home > Th. List > lukshefth2 | Structured version Visualization version Unicode version |
Description: Lemma for renicax 1622. (Contributed by NM, 31-Jul-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
lukshefth2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lukshef-ax1 1619 | . . . 4 | |
2 | lukshef-ax1 1619 | . . . 4 | |
3 | 1, 2 | nic-mp 1596 | . . 3 |
4 | lukshefth1 1620 | . . . 4 | |
5 | lukshef-ax1 1619 | . . . . 5 | |
6 | lukshef-ax1 1619 | . . . . 5 | |
7 | 5, 6 | nic-mp 1596 | . . . 4 |
8 | 4, 7 | nic-mp 1596 | . . 3 |
9 | 3, 8 | nic-mp 1596 | . 2 |
10 | lukshef-ax1 1619 | . 2 | |
11 | 9, 10 | nic-mp 1596 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wnan 1447 |
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 197 df-an 386 df-nan 1448 |
This theorem is referenced by: renicax 1622 |
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