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Mirrors > Home > ILE Home > Th. List > 2p1e3 | Unicode version |
Description: 2 + 1 = 3. (Contributed by Mario Carneiro, 18-Apr-2015.) |
Ref | Expression |
---|---|
2p1e3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3 8748 | . 2 | |
2 | 1 | eqcomi 2121 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 (class class class)co 5742 c1 7589 caddc 7591 c2 8739 c3 8740 |
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 1408 ax-gen 1410 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-cleq 2110 df-3 8748 |
This theorem is referenced by: 1p2e3 8822 cnm2m1cnm3 8939 6t5e30 9256 7t5e35 9261 8t4e32 9266 9t4e36 9273 decbin3 9291 halfthird 9292 m1modge3gt1 10112 fac3 10446 hash3 10527 nn0o1gt2 11529 flodddiv4 11558 |
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