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Mirrors > Home > ILE Home > Th. List > 1p2e3 | Unicode version |
Description: 1 + 2 = 3 (common case). (Contributed by David A. Wheeler, 8-Dec-2018.) |
Ref | Expression |
---|---|
1p2e3 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2cn 8988 |
. 2
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2 | ax-1cn 7903 |
. 2
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3 | 2p1e3 9050 |
. 2
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4 | 1, 2, 3 | addcomli 8100 |
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 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-11 1506 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 ax-resscn 7902 ax-1cn 7903 ax-1re 7904 ax-addrcl 7907 ax-addcom 7910 |
This theorem depends on definitions: df-bi 117 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-in 3135 df-ss 3142 df-2 8976 df-3 8977 |
This theorem is referenced by: binom3 10634 3lcm2e6woprm 12080 1kp2ke3k 14358 |
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