Mathbox for Jonathan Ben-Naim |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > bnj1209 | Structured version Visualization version Unicode version |
Description: First-order logic and set theory. (Contributed by Jonathan Ben-Naim, 3-Jun-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
bnj1209.1 | |
bnj1209.2 |
Ref | Expression |
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bnj1209 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bnj1209.1 | . . . . 5 | |
2 | 1 | bnj1196 30865 | . . . 4 |
3 | 2 | ancli 574 | . . 3 |
4 | 19.42v 1918 | . . 3 | |
5 | 3, 4 | sylibr 224 | . 2 |
6 | bnj1209.2 | . . 3 | |
7 | 3anass 1042 | . . 3 | |
8 | 6, 7 | bitri 264 | . 2 |
9 | 5, 8 | bnj1198 30866 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 w3a 1037 wex 1704 wcel 1990 wrex 2913 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 |
This theorem depends on definitions: df-bi 197 df-an 386 df-3an 1039 df-ex 1705 df-rex 2918 |
This theorem is referenced by: bnj1501 31135 bnj1523 31139 |
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