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Mirrors > Home > NFE Home > Th. List > df-0c | GIF version |
Description: Define cardinal zero. (Contributed by SF, 12-Jan-2015.) |
Ref | Expression |
---|---|
df-0c | ⊢ 0c = {∅} |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | c0c 4375 | . 2 class 0c | |
2 | c0 3551 | . . 3 class ∅ | |
3 | 2 | csn 3738 | . 2 class {∅} |
4 | 1, 3 | wceq 1642 | 1 wff 0c = {∅} |
Colors of variables: wff setvar class |
This definition is referenced by: 0cex 4393 0cnsuc 4402 addcid1 4406 el0c 4422 nnsucelr 4429 nndisjeq 4430 ssfin 4471 0ceven 4506 lec0cg 6199 |
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