Colors of
variables: wff
setvar class |
Syntax hints:
→ wi 4 ∧ wa 395
∈ wcel 2098 class class class wbr 5138
(class class class)co 7401 ℝcr 11104
0cc0 11105 < clt 11244
/ cdiv 11867 2c2 12263
ℝ+crp 12970 |
This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2695 ax-sep 5289 ax-nul 5296 ax-pow 5353 ax-pr 5417 ax-un 7718 ax-resscn 11162 ax-1cn 11163 ax-icn 11164 ax-addcl 11165 ax-addrcl 11166 ax-mulcl 11167 ax-mulrcl 11168 ax-mulcom 11169 ax-addass 11170 ax-mulass 11171 ax-distr 11172 ax-i2m1 11173 ax-1ne0 11174 ax-1rid 11175 ax-rnegex 11176 ax-rrecex 11177 ax-cnre 11178 ax-pre-lttri 11179 ax-pre-lttrn 11180 ax-pre-ltadd 11181 ax-pre-mulgt0 11182 |
This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3or 1085 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2526 df-eu 2555 df-clab 2702 df-cleq 2716 df-clel 2802 df-nfc 2877 df-ne 2933 df-nel 3039 df-ral 3054 df-rex 3063 df-rmo 3368 df-reu 3369 df-rab 3425 df-v 3468 df-sbc 3770 df-csb 3886 df-dif 3943 df-un 3945 df-in 3947 df-ss 3957 df-nul 4315 df-if 4521 df-pw 4596 df-sn 4621 df-pr 4623 df-op 4627 df-uni 4900 df-br 5139 df-opab 5201 df-mpt 5222 df-id 5564 df-po 5578 df-so 5579 df-xp 5672 df-rel 5673 df-cnv 5674 df-co 5675 df-dm 5676 df-rn 5677 df-res 5678 df-ima 5679 df-iota 6485 df-fun 6535 df-fn 6536 df-f 6537 df-f1 6538 df-fo 6539 df-f1o 6540 df-fv 6541 df-riota 7357 df-ov 7404 df-oprab 7405 df-mpo 7406 df-er 8698 df-en 8935 df-dom 8936 df-sdom 8937 df-pnf 11246 df-mnf 11247 df-xr 11248 df-ltxr 11249 df-le 11250 df-sub 11442 df-neg 11443 df-div 11868 df-2 12271
df-rp 12971 |
This theorem is referenced by: rpltrp
13316 rpnnen2lem11
16163 sqrt2irr
16188 metcnpi3
24365 cfilucfil
24378 reperflem
24644 iccntr
24647 icccmplem2
24649 reconnlem2
24653 cnllycmp
24792 bcthlem5
25166 minveclem3
25267 ivthlem2
25291 lhop1lem
25856 dvcnvre
25862 aaliou
26180 aaliou2b
26183 cosordlem
26369 tanord1
26376 argregt0
26448 argrege0
26449 isosctrlem1
26654 asinsin
26728 asin1
26730 atan1
26764 lgamucov
26874 lgsqrlem2
27184 lgsquadlem2
27218 lgsquadlem3
27219 2sqlem8
27263 chebbnd1lem2
27307 pntibnd
27430 pntlem3
27446 ubthlem1
30547 nmcexi
31703 ftc1anc
37025 flt4lem7
41856 isosctrlem1ALT
44150 dstregt0
44442 supxrge
44499 rphalfltd
44616 stoweidlem62
45229 fourierdlem79
45352 |