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Mirrors > Home > ILE Home > Th. List > 1xr | GIF version |
Description: 1 is an extended real number. (Contributed by Glauco Siliprandi, 2-Jan-2022.) |
Ref | Expression |
---|---|
1xr | ⊢ 1 ∈ ℝ* |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 1re 7958 | . 2 ⊢ 1 ∈ ℝ | |
2 | 1 | rexri 8017 | 1 ⊢ 1 ∈ ℝ* |
Colors of variables: wff set class |
Syntax hints: ∈ wcel 2148 1c1 7814 ℝ*cxr 7993 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 709 ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-ext 2159 ax-1re 7907 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-v 2741 df-un 3135 df-in 3137 df-ss 3144 df-xr 7998 |
This theorem is referenced by: fprodge1 11649 |
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