Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > 1ex | GIF version |
Description: 1 is a set. Common special case. (Contributed by David A. Wheeler, 7-Jul-2016.) |
Ref | Expression |
---|---|
1ex | ⊢ 1 ∈ V |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1cn 7837 | . 2 ⊢ 1 ∈ ℂ | |
2 | 1 | elexi 2733 | 1 ⊢ 1 ∈ V |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 2135 Vcvv 2721 ℂcc 7742 1c1 7745 |
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 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-ext 2146 ax-1cn 7837 |
This theorem depends on definitions: df-bi 116 df-sb 1750 df-clab 2151 df-cleq 2157 df-clel 2160 df-v 2723 |
This theorem is referenced by: nn1suc 8867 nn0ind-raph 9299 fzprval 10007 fztpval 10008 m1expcl2 10467 1exp 10474 facnn 10629 fac0 10630 prhash2ex 10711 prodf1f 11470 fprodntrivap 11511 prod1dc 11513 fprodssdc 11517 ege2le3 11598 1nprm 12025 pcmpt 12250 dvexp 13216 dvef 13229 2o01f 13710 iswomni0 13764 |
Copyright terms: Public domain | W3C validator |