Colors of
variables: wff set class |
Syntax hints:
โ wi 4 = wceq 1353
โ wcel 2148 (class class class)co 5877
โcc 7811 + caddc 7816 ยท cmul 7818
2c2 8972 |
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 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-ext 2159 ax-resscn 7905 ax-1cn 7906 ax-icn 7908 ax-addcl 7909 ax-mulcl 7911 ax-mulcom 7914 ax-mulass 7916 ax-distr 7917 ax-1rid 7920 ax-cnre 7924 |
This theorem depends on definitions:
df-bi 117 df-3an 980 df-tru 1356 df-nf 1461 df-sb 1763 df-clab 2164 df-cleq 2170 df-clel 2173 df-nfc 2308 df-ral 2460 df-rex 2461 df-v 2741 df-un 3135 df-in 3137 df-ss 3144 df-sn 3600 df-pr 3601 df-op 3603 df-uni 3812 df-br 4006 df-iota 5180 df-fv 5226 df-ov 5880 df-2 8980 |
This theorem is referenced by: xleaddadd
9889 fzctr
10135 flhalf
10304 q2submod
10387 modaddmodup
10389 m1expeven
10569 binom2
10634 nn0opthlem2d
10703 crre
10868 imval2
10905 resqrexlemdec
11022 amgm2
11129 maxabsle
11215 maxabslemab
11217 maxltsup
11229 max0addsup
11230 arisum2
11509 efival
11742 sinadd
11746 cosadd
11747 addsin
11752 subsin
11753 cosmul
11755 addcos
11756 subcos
11757 sin2t
11759 cos2t
11760 eirraplem
11786 pythagtriplem12
12277 pythagtriplem15
12280 pythagtriplem17
12282 difsqpwdvds
12339 bl2in
13942 cosordlem
14309 apdifflemf
14833 apdifflemr
14834 |