Theorem 1xr 8113

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 8053	. 2 |- 1 e. RR
2	1	rexri 8112	1 |- 1 e. RR*

Syntax hints:   e. wcel 2175   1c1 7908   RR*cxr 8088

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 710  ax-5 1469  ax-7 1470  ax-gen 1471  ax-ie1 1515  ax-ie2 1516  ax-8 1526  ax-10 1527  ax-11 1528  ax-i12 1529  ax-bndl 1531  ax-4 1532  ax-17 1548  ax-i9 1552  ax-ial 1556  ax-i5r 1557  ax-ext 2186  ax-1re 8001

This theorem depends on definitions:  df-bi 117  df-tru 1375  df-nf 1483  df-sb 1785  df-clab 2191  df-cleq 2197  df-clel 2200  df-nfc 2336  df-v 2773  df-un 3169  df-in 3171  df-ss 3178  df-xr 8093

This theorem is referenced by:  fprodge1  11869