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| Mirrors > Home > ILE Home > Th. List > 1p0e1 | GIF version | ||
| Description: 1 + 0 = 1. (Contributed by David A. Wheeler, 8-Dec-2018.) |
| Ref | Expression |
|---|---|
| 1p0e1 | ⊢ (1 + 0) = 1 |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ax-1cn 8273 | . 2 ⊢ 1 ∈ ℂ | |
| 2 | 1 | addridi 8470 | 1 ⊢ (1 + 0) = 1 |
| Colors of variables: wff set class |
| This proof depends on syntax axioms: = wceq 1402 (class class class)co 6085 0cc0 8180 1c1 8181 + caddc 8183 |
| This proof depends on axioms: ax-mp 5 ax-1cn 8273 ax-0id 8288 |
| This theorem is used by: bernneq 11113 bcpasc 11220 4sqlem19 13211 1259lem1 13265 ballotfilemic 13302 ef2pi 15998 1sgm2ppw 16250 |
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