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Mirrors > Home > MPE Home > Th. List > Mathboxes > ee223 | Structured version Visualization version Unicode version |
Description: e223 38860 without virtual deductions. (Contributed by Alan Sare, 12-Dec-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
ee223.1 | |
ee223.2 | |
ee223.3 | |
ee223.4 |
Ref | Expression |
---|---|
ee223 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ee223.2 | . 2 | |
2 | ee223.3 | . . . . . . . 8 | |
3 | ee223.1 | . . . . . . . . . . . 12 | |
4 | ee223.4 | . . . . . . . . . . . 12 | |
5 | 3, 4 | syl6 35 | . . . . . . . . . . 11 |
6 | 5 | com34 91 | . . . . . . . . . 10 |
7 | 6 | com23 86 | . . . . . . . . 9 |
8 | 7 | com12 32 | . . . . . . . 8 |
9 | 2, 8 | syl8 76 | . . . . . . 7 |
10 | 9 | com34 91 | . . . . . 6 |
11 | 10 | pm2.43a 54 | . . . . 5 |
12 | 11 | com34 91 | . . . 4 |
13 | 12 | pm2.43d 53 | . . 3 |
14 | 13 | com34 91 | . 2 |
15 | 1, 14 | mpdd 43 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: e223 38860 |
Copyright terms: Public domain | W3C validator |