![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > df-nns | Structured version Visualization version GIF version |
Description: Define the set of positive surreal integers. (Contributed by Scott Fenton, 17-Mar-2025.) |
Ref | Expression |
---|---|
df-nns | ⊢ ℕs = (ℕ0s ∖ { 0s }) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cnns 28071 | . 2 class ℕs | |
2 | cnn0s 28070 | . . 3 class ℕ0s | |
3 | c0s 27669 | . . . 4 class 0s | |
4 | 3 | csn 4628 | . . 3 class { 0s } |
5 | 2, 4 | cdif 3945 | . 2 class (ℕ0s ∖ { 0s }) |
6 | 1, 5 | wceq 1540 | 1 wff ℕs = (ℕ0s ∖ { 0s }) |
Colors of variables: wff setvar class |
This definition is referenced by: nnsex 28075 nnssn0s 28078 nnne0s 28090 elnns 28093 1nns 28100 |
Copyright terms: Public domain | W3C validator |