![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > rpxrd | Unicode version |
Description: A positive real is an extended real. (Contributed by Mario Carneiro, 28-May-2016.) |
Ref | Expression |
---|---|
rpred.1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
rpxrd |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rpred.1 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | 1 | rpred 9710 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
3 | 2 | rexrd 8021 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
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 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-ext 2169 |
This theorem depends on definitions: df-bi 117 df-tru 1366 df-nf 1471 df-sb 1773 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-rab 2474 df-v 2751 df-un 3145 df-in 3147 df-ss 3154 df-xr 8010 df-rp 9668 |
This theorem is referenced by: ssblex 14227 metequiv2 14292 metss2lem 14293 metcnp 14308 metcnpi3 14313 |
Copyright terms: Public domain | W3C validator |