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 7713 | . 2 ⊢ 1 ∈ ℂ | |
2 | 1 | elexi 2698 | 1 ⊢ 1 ∈ V |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 1480 Vcvv 2686 ℂcc 7618 1c1 7621 |
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 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-ext 2121 ax-1cn 7713 |
This theorem depends on definitions: df-bi 116 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-v 2688 |
This theorem is referenced by: nn1suc 8739 nn0ind-raph 9168 fzprval 9862 fztpval 9863 m1expcl2 10315 1exp 10322 facnn 10473 fac0 10474 prhash2ex 10555 prodf1f 11312 ege2le3 11377 1nprm 11795 dvexp 12844 dvef 12856 isomninnlem 13225 |
Copyright terms: Public domain | W3C validator |