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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 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2cn 8759 | . 2 | |
2 | ax-1cn 7681 | . 2 | |
3 | 2p1e3 8821 | . 2 | |
4 | 1, 2, 3 | addcomli 7875 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 (class class class)co 5742 c1 7589 caddc 7591 c2 8739 c3 8740 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 ax-resscn 7680 ax-1cn 7681 ax-1re 7682 ax-addrcl 7685 ax-addcom 7688 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-in 3047 df-ss 3054 df-2 8747 df-3 8748 |
This theorem is referenced by: binom3 10377 3lcm2e6woprm 11694 1kp2ke3k 12863 |
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