Theorem 1xr 8047

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 7987	. 2 |- 1 e. RR
2	1	rexri 8046	1 |- 1 e. RR*

Syntax hints:   e. wcel 2160   1c1 7843   RR*cxr 8022

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 1458  ax-7 1459  ax-gen 1460  ax-ie1 1504  ax-ie2 1505  ax-8 1515  ax-10 1516  ax-11 1517  ax-i12 1518  ax-bndl 1520  ax-4 1521  ax-17 1537  ax-i9 1541  ax-ial 1545  ax-i5r 1546  ax-ext 2171  ax-1re 7936

This theorem depends on definitions:  df-bi 117  df-tru 1367  df-nf 1472  df-sb 1774  df-clab 2176  df-cleq 2182  df-clel 2185  df-nfc 2321  df-v 2754  df-un 3148  df-in 3150  df-ss 3157  df-xr 8027

This theorem is referenced by:  fprodge1  11682