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Mirrors > Home > MPE Home > Th. List > merco1lem6 | Structured version Visualization version Unicode version |
Description: Used to rederive the Tarski-Bernays-Wajsberg axioms from merco1 1638. (Contributed by Anthony Hart, 17-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
merco1lem6 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | merco1lem5 1645 | . . . . 5 | |
2 | merco1lem3 1643 | . . . . 5 | |
3 | 1, 2 | ax-mp 5 | . . . 4 |
4 | merco1lem5 1645 | . . . 4 | |
5 | 3, 4 | ax-mp 5 | . . 3 |
6 | merco1lem3 1643 | . . 3 | |
7 | 5, 6 | ax-mp 5 | . 2 |
8 | merco1 1638 | . 2 | |
9 | 7, 8 | ax-mp 5 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wfal 1488 |
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-tru 1486 df-fal 1489 |
This theorem is referenced by: merco1lem7 1647 merco1lem8 1649 |
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