Theorem 1xr 8332

Description: 1 is an extended real number. (Contributed by Glauco Siliprandi, 2-Jan-2022.)

Assertion

Ref	Expression
1xr	|- 1 e. RR*

Proof of Theorem 1xr

Step	Hyp	Ref	Expression
1		1re 8273	. 2 |- 1 e. RR
2	1	rexri 8331	1 |- 1 e. RR*

Syntax hints:   e. wcel 2203   1c1 8128   RR*cxr 8307

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 717  ax-5 1496  ax-7 1497  ax-gen 1498  ax-ie1 1542  ax-ie2 1543  ax-8 1553  ax-10 1554  ax-11 1555  ax-i12 1556  ax-bndl 1558  ax-4 1559  ax-17 1575  ax-i9 1579  ax-ial 1583  ax-i5r 1584  ax-ext 2214  ax-1re 8221

This theorem depends on definitions:  df-bi 117  df-tru 1401  df-nf 1510  df-sb 1812  df-clab 2219  df-cleq 2225  df-clel 2228  df-nfc 2373  df-v 2815  df-un 3215  df-in 3217  df-ss 3224  df-xr 8312

This theorem is referenced by:  fprodge1  12325