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Mirrors > Home > ILE Home > Th. List > 3p1e4 | GIF version |
Description: 3 + 1 = 4. (Contributed by Mario Carneiro, 18-Apr-2015.) |
Ref | Expression |
---|---|
3p1e4 | ⊢ (3 + 1) = 4 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-4 8805 | . 2 ⊢ 4 = (3 + 1) | |
2 | 1 | eqcomi 2144 | 1 ⊢ (3 + 1) = 4 |
Colors of variables: wff set class |
Syntax hints: = wceq 1332 (class class class)co 5782 1c1 7645 + caddc 7647 3c3 8796 4c4 8797 |
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-gen 1426 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-cleq 2133 df-4 8805 |
This theorem is referenced by: 7t6e42 9318 8t5e40 9323 9t5e45 9330 fac4 10511 4bc3eq4 10551 hash4 10592 cosq23lt0 12962 |
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