Theorem 1xr 7978

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 7919	. 2 |- 1 e. RR
2	1	rexri 7977	1 |- 1 e. RR*

Syntax hints:   e. wcel 2141   1c1 7775   RR*cxr 7953

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-io 704  ax-5 1440  ax-7 1441  ax-gen 1442  ax-ie1 1486  ax-ie2 1487  ax-8 1497  ax-10 1498  ax-11 1499  ax-i12 1500  ax-bndl 1502  ax-4 1503  ax-17 1519  ax-i9 1523  ax-ial 1527  ax-i5r 1528  ax-ext 2152  ax-1re 7868

This theorem depends on definitions:  df-bi 116  df-tru 1351  df-nf 1454  df-sb 1756  df-clab 2157  df-cleq 2163  df-clel 2166  df-nfc 2301  df-v 2732  df-un 3125  df-in 3127  df-ss 3134  df-xr 7958

This theorem is referenced by:  fprodge1  11602