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Mirrors > Home > MPE Home > Th. List > ex-an | Structured version Visualization version GIF version |
Description: Example for df-an 398. Example by David A. Wheeler. (Contributed by Mario Carneiro, 9-May-2015.) |
Ref | Expression |
---|---|
ex-an | ⊢ (2 = 2 ∧ 3 = 3) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqid 2737 | . 2 ⊢ 2 = 2 | |
2 | eqid 2737 | . 2 ⊢ 3 = 3 | |
3 | 1, 2 | pm3.2i 472 | 1 ⊢ (2 = 2 ∧ 3 = 3) |
Colors of variables: wff setvar class |
Syntax hints: ∧ wa 397 = wceq 1542 2c2 12215 3c3 12216 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914 ax-6 1972 ax-7 2012 ax-9 2117 ax-ext 2708 |
This theorem depends on definitions: df-bi 206 df-an 398 df-ex 1783 df-cleq 2729 |
This theorem is referenced by: (None) |
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