Theorem rpssre 6285

Description: The positive reals are a subset of the reals.

Assertion

Ref	Expression
rpssre	|- RR+ (_ RR

Proof of Theorem rpssre

Step	Hyp	Ref	Expression
1		rpret 6284	. 2 |- (x e. RR+ -> x e. RR)
2	1	ssriv 2069	1 |- RR+ (_ RR

Syntax hints:   (_ wss 2047  RRcr 5233  RR+crp 5300

This theorem is referenced by:  rpexpclt 6582

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-3 6  ax-mp 7  ax-7 962  ax-gen 963  ax-8 964  ax-10 966  ax-12 968  ax-17 971  ax-4 973  ax-5o 975  ax-6o 978  ax-9o 1123  ax-10o 1140  ax-16 1210  ax-11o 1218  ax-ext 1459

This theorem depends on definitions:  df-bi 147  df-an 225  df-ex 981  df-sb 1172  df-clab 1464  df-cleq 1469  df-clel 1472  df-rab 1652  df-in 2051  df-ss 2053  df-rp 6281

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