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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 8909 | . 2 | |
2 | 1 | eqcomi 2168 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1342 (class class class)co 5837 c1 7746 caddc 7748 c2 8900 c3 8901 |
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 1434 ax-gen 1436 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-cleq 2157 df-3 8909 |
This theorem is referenced by: 1p2e3 8983 cnm2m1cnm3 9100 6t5e30 9420 7t5e35 9425 8t4e32 9430 9t4e36 9437 decbin3 9455 halfthird 9456 fz0to3un2pr 10049 m1modge3gt1 10297 fac3 10635 hash3 10716 nn0o1gt2 11831 flodddiv4 11860 |
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