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Mirrors > Home > ILE Home > Th. List > df-pli | GIF version |
Description: Define addition on positive integers. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. (Contributed by NM, 26-Aug-1995.) |
Ref | Expression |
---|---|
df-pli | ⊢ +N = ( +𝑜 ↾ (N × N)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cpli 6463 | . 2 class +N | |
2 | coa 6021 | . . 3 class +𝑜 | |
3 | cnpi 6462 | . . . 4 class N | |
4 | 3, 3 | cxp 4361 | . . 3 class (N × N) |
5 | 2, 4 | cres 4365 | . 2 class ( +𝑜 ↾ (N × N)) |
6 | 1, 5 | wceq 1284 | 1 wff +N = ( +𝑜 ↾ (N × N)) |
Colors of variables: wff set class |
This definition is referenced by: addpiord 6506 dmaddpi 6515 |
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