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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 8791 | . 2 ⊢ 2 ∈ ℂ | |
2 | ax-1cn 7713 | . 2 ⊢ 1 ∈ ℂ | |
3 | 2p1e3 8853 | . 2 ⊢ (2 + 1) = 3 | |
4 | 1, 2, 3 | addcomli 7907 | 1 ⊢ (1 + 2) = 3 |
Colors of variables: wff set class |
Syntax hints: = wceq 1331 (class class class)co 5774 1c1 7621 + caddc 7623 2c2 8771 3c3 8772 |
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 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 ax-resscn 7712 ax-1cn 7713 ax-1re 7714 ax-addrcl 7717 ax-addcom 7720 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-in 3077 df-ss 3084 df-2 8779 df-3 8780 |
This theorem is referenced by: binom3 10409 3lcm2e6woprm 11767 1kp2ke3k 12936 |
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