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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3 8993 |
. 2
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2 | 1 | eqcomi 2191 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1457 ax-gen 1459 ax-ext 2169 |
This theorem depends on definitions: df-bi 117 df-cleq 2180 df-3 8993 |
This theorem is referenced by: 1p2e3 9067 cnm2m1cnm3 9184 6t5e30 9504 7t5e35 9509 8t4e32 9514 9t4e36 9521 decbin3 9539 halfthird 9540 fz0to3un2pr 10137 m1modge3gt1 10385 fac3 10726 hash3 10807 nn0o1gt2 11924 flodddiv4 11953 2lgsoddprmlem3c 14753 |
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