Colors of
variables: wff set class |
Syntax hints: ¬ wn 3 → wi 4
∧ wa 104 ∨ wo 708
= wceq 1353 ∈
wcel 2148 +∞cpnf 7989
ℕ0cn0 9176
ℕ0*cxnn0 9239 |
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-in2 615 ax-io 709
ax-5 1447 ax-7 1448 ax-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-8 1504 ax-10 1505 ax-11 1506 ax-i12 1507 ax-bndl 1509 ax-4 1510 ax-17 1526 ax-i9 1530 ax-ial 1534 ax-i5r 1535 ax-13 2150 ax-14 2151 ax-ext 2159 ax-sep 4122 ax-pow 4175 ax-un 4434 ax-cnex 7902 |
This theorem depends on definitions:
df-bi 117 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-rex 2461 df-v 2740 df-un 3134 df-in 3136 df-ss 3143 df-pw 3578 df-sn 3599 df-pr 3600 df-uni 3811 df-pnf 7994 df-xr 7996 df-xnn0 9240 |
This theorem is referenced by:
(None) |