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Mirrors > Home > ILE Home > Th. List > 2p1e3 | GIF version |
Description: 2 + 1 = 3. (Contributed by Mario Carneiro, 18-Apr-2015.) |
Ref | Expression |
---|---|
2p1e3 | ⊢ (2 + 1) = 3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3 8780 | . 2 ⊢ 3 = (2 + 1) | |
2 | 1 | eqcomi 2143 | 1 ⊢ (2 + 1) = 3 |
Colors of variables: wff set class |
Syntax hints: = wceq 1331 (class class class)co 5774 1c1 7621 + caddc 7623 2c2 8771 3c3 8772 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-cleq 2132 df-3 8780 |
This theorem is referenced by: 1p2e3 8854 cnm2m1cnm3 8971 6t5e30 9288 7t5e35 9293 8t4e32 9298 9t4e36 9305 decbin3 9323 halfthird 9324 m1modge3gt1 10144 fac3 10478 hash3 10559 nn0o1gt2 11602 flodddiv4 11631 |
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