Colors of
variables: wff set class |
Syntax hints:
→ wi 4 ∈ wcel 2158
≠ wne 2357 ℝcr 7823 +∞cpnf 8002 |
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-in1 615 ax-in2 616 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-13 2160 ax-14 2161 ax-ext 2169 ax-sep 4133 ax-un 4445 ax-cnex 7915 ax-resscn 7916 |
This theorem depends on definitions:
df-bi 117 df-tru 1366 df-fal 1369 df-nf 1471 df-sb 1773 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-ne 2358 df-nel 2453 df-rex 2471 df-rab 2474 df-v 2751 df-in 3147 df-ss 3154 df-pw 3589 df-uni 3822 df-pnf 8007 |
This theorem is referenced by: xaddnepnf
9871 |