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Mirrors > Home > ILE Home > Th. List > 1p2e3 | GIF version |
Description: 1 + 2 = 3 (common case). (Contributed by David A. Wheeler, 8-Dec-2018.) |
Ref | Expression |
---|---|
1p2e3 | ⊢ (1 + 2) = 3 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2cn 8110 | . 2 ⊢ 2 ∈ ℂ | |
2 | ax-1cn 7069 | . 2 ⊢ 1 ∈ ℂ | |
3 | 2p1e3 8165 | . 2 ⊢ (2 + 1) = 3 | |
4 | 1, 2, 3 | addcomli 7253 | 1 ⊢ (1 + 2) = 3 |
Colors of variables: wff set class |
Syntax hints: = wceq 1284 (class class class)co 5532 1c1 6982 + caddc 6984 2c2 8089 3c3 8090 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 ax-resscn 7068 ax-1cn 7069 ax-1re 7070 ax-addrcl 7073 ax-addcom 7076 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-in 2979 df-ss 2986 df-2 8098 df-3 8099 |
This theorem is referenced by: binom3 9590 3lcm2e6woprm 10468 1kp2ke3k 10562 |
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