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| Mirrors > Home > ILE Home > Th. List > 4p1e5 | GIF version | ||
| Description: 4 + 1 = 5. (Contributed by Mario Carneiro, 18-Apr-2015.) |
| Ref | Expression |
|---|---|
| 4p1e5 | ⊢ (4 + 1) = 5 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | df-5 9128 | . 2 ⊢ 5 = (4 + 1) | |
| 2 | 1 | eqcomi 2210 | 1 ⊢ (4 + 1) = 5 |
| Colors of variables: wff set class |
| Syntax hints: = wceq 1373 (class class class)co 5962 1c1 7956 + caddc 7958 4c4 9119 5c5 9120 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1471 ax-gen 1473 ax-ext 2188 |
| This theorem depends on definitions: df-bi 117 df-cleq 2199 df-5 9128 |
| This theorem is referenced by: 8t7e56 9653 9t6e54 9659 2exp16 12845 ex-exp 15833 ex-fac 15834 |
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