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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 7986 | . 2 ⊢ 2 ∈ ℂ | |
2 | ax-1cn 6977 | . 2 ⊢ 1 ∈ ℂ | |
3 | 2p1e3 8043 | . 2 ⊢ (2 + 1) = 3 | |
4 | 1, 2, 3 | addcomli 7158 | 1 ⊢ (1 + 2) = 3 |
Colors of variables: wff set class |
Syntax hints: = wceq 1243 (class class class)co 5512 1c1 6890 + caddc 6892 2c2 7964 3c3 7965 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-11 1397 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-resscn 6976 ax-1cn 6977 ax-1re 6978 ax-addrcl 6981 ax-addcom 6984 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-in 2924 df-ss 2931 df-2 7973 df-3 7974 |
This theorem is referenced by: binom3 9366 |
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