Colors of
variables: wff
setvar class |
Syntax hints:
= wceq 1542 (class class class)co 7362
1c1 11059 + caddc 11061 3c3 12216
4c4 12217 5c5 12218
8c8 12221 9c9 12222 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1798 ax-4 1812 ax-5 1914
ax-6 1972 ax-7 2012 ax-8 2109
ax-9 2117 ax-ext 2708 ax-1cn 11116 ax-addcl 11118 ax-addass 11123 |
This theorem depends on definitions:
df-bi 206 df-an 398
df-or 847 df-3an 1090 df-tru 1545 df-fal 1555 df-ex 1783 df-sb 2069 df-clab 2715 df-cleq 2729 df-clel 2815 df-rab 3411 df-v 3450 df-dif 3918 df-un 3920 df-in 3922 df-ss 3932 df-nul 4288 df-if 4492 df-sn 4592 df-pr 4594 df-op 4598 df-uni 4871 df-br 5111 df-iota 6453 df-fv 6509 df-ov 7365 df-2 12223 df-3 12224
df-4 12225 df-5 12226
df-6 12227 df-7 12228
df-8 12229 df-9 12230 |
This theorem is referenced by: 5p5e10
12696 139prm
17003 1259lem3
17012 1259lem4
17013 2503lem2
17017 4001lem1
17020 4001lem2
17021 hgt750lem2
33305 problem1
34293 problem2
34294 resqrtvalex
41991 imsqrtvalex
41992 inductionexd
42501 139prmALT
45862 |