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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 8815 | . 2 ⊢ 2 ∈ ℂ | |
2 | ax-1cn 7737 | . 2 ⊢ 1 ∈ ℂ | |
3 | 2p1e3 8877 | . 2 ⊢ (2 + 1) = 3 | |
4 | 1, 2, 3 | addcomli 7931 | 1 ⊢ (1 + 2) = 3 |
Colors of variables: wff set class |
Syntax hints: = wceq 1332 (class class class)co 5782 1c1 7645 + caddc 7647 2c2 8795 3c3 8796 |
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 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-11 1485 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 ax-resscn 7736 ax-1cn 7737 ax-1re 7738 ax-addrcl 7741 ax-addcom 7744 |
This theorem depends on definitions: df-bi 116 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-in 3082 df-ss 3089 df-2 8803 df-3 8804 |
This theorem is referenced by: binom3 10440 3lcm2e6woprm 11803 1kp2ke3k 13107 |
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