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Mirrors > Home > ILE Home > Th. List > c0ex | Unicode version |
Description: 0 is a set (common case). (Contributed by David A. Wheeler, 7-Jul-2016.) |
Ref | Expression |
---|---|
c0ex |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 0cn 7726 | . 2 | |
2 | 1 | elexi 2672 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1465 cvv 2660 cc 7586 cc0 7588 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-ext 2099 ax-1cn 7681 ax-icn 7683 ax-addcl 7684 ax-mulcl 7686 ax-i2m1 7693 |
This theorem depends on definitions: df-bi 116 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-v 2662 |
This theorem is referenced by: elnn0 8947 nn0ex 8951 un0mulcl 8979 nn0ssz 9040 nn0ind-raph 9136 ser0f 10256 fser0const 10257 facnn 10441 fac0 10442 prhash2ex 10523 iserge0 11080 sum0 11125 isumz 11126 fisumss 11129 bezoutlemmain 11613 lcmval 11671 dvef 12783 isomninnlem 13152 |
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