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Mirrors > Home > ILE Home > Th. List > oveq1i | Unicode version |
Description: Equality inference for operation value. (Contributed by NM, 28-Feb-1995.) |
Ref | Expression |
---|---|
oveq1i.1 |
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Ref | Expression |
---|---|
oveq1i |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | oveq1i.1 |
. 2
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2 | oveq1 5789 |
. 2
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3 | 1, 2 | ax-mp 5 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-3an 965 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-rex 2423 df-v 2691 df-un 3080 df-sn 3538 df-pr 3539 df-op 3541 df-uni 3745 df-br 3938 df-iota 5096 df-fv 5139 df-ov 5785 |
This theorem is referenced by: caov12 5967 map1 6714 halfnqq 7242 prarloclem5 7332 m1m1sr 7593 caucvgsrlemfv 7623 caucvgsr 7634 pitonnlem1 7677 axi2m1 7707 axcnre 7713 axcaucvg 7732 mvrraddi 8003 mvlladdi 8004 negsubdi 8042 mul02 8173 mulneg1 8181 mulreim 8390 recextlem1 8436 recdivap 8502 2p2e4 8871 2times 8872 3p2e5 8885 3p3e6 8886 4p2e6 8887 4p3e7 8888 4p4e8 8889 5p2e7 8890 5p3e8 8891 5p4e9 8892 6p2e8 8893 6p3e9 8894 7p2e9 8895 1mhlfehlf 8962 8th4div3 8963 halfpm6th 8964 nneoor 9177 9p1e10 9208 dfdec10 9209 num0h 9217 numsuc 9219 dec10p 9248 numma 9249 nummac 9250 numma2c 9251 numadd 9252 numaddc 9253 nummul2c 9255 decaddci 9266 decsubi 9268 decmul1 9269 5p5e10 9276 6p4e10 9277 7p3e10 9280 8p2e10 9285 decbin0 9345 decbin2 9346 elfzp1b 9908 elfzm1b 9909 fz01or 9922 fz1ssfz0 9928 qbtwnrelemcalc 10064 fldiv4p1lem1div2 10109 1tonninf 10244 mulexpzap 10364 expaddzap 10368 sq4e2t8 10421 cu2 10422 i3 10425 iexpcyc 10428 binom2i 10432 binom3 10440 3dec 10492 faclbnd 10519 bcm1k 10538 bcp1nk 10540 bcpasc 10544 hashp1i 10588 hashxp 10604 imre 10655 crim 10662 remullem 10675 resqrexlemfp1 10813 resqrexlemover 10814 resqrexlemcalc1 10818 resqrexlemnm 10822 absexpzap 10884 absimle 10888 amgm2 10922 maxabslemlub 11011 fsumconst 11255 modfsummod 11259 binomlem 11284 binom11 11287 arisum 11299 arisum2 11300 georeclim 11314 geo2sum 11315 mertenslemi1 11336 mertenslem2 11337 mertensabs 11338 prodfrecap 11347 efzval 11426 resinval 11458 recosval 11459 efi4p 11460 tan0 11474 efival 11475 cosadd 11480 cos2tsin 11494 ef01bndlem 11499 cos1bnd 11502 cos2bnd 11503 absefib 11513 efieq1re 11514 demoivreALT 11516 eirraplem 11519 3dvdsdec 11598 3dvds2dec 11599 odd2np1 11606 nn0o1gt2 11638 nn0o 11640 flodddiv4 11667 algrp1 11763 3lcm2e6woprm 11803 nn0gcdsq 11914 phiprmpw 11934 cnmpt1res 12504 rerestcntop 12758 dvfvalap 12858 dvcnp2cntop 12871 dveflem 12895 reeff1oleme 12901 sin0pilem1 12910 sinhalfpilem 12920 cospi 12929 eulerid 12931 cos2pi 12933 ef2kpi 12935 sinhalfpip 12949 sinhalfpim 12950 coshalfpip 12951 coshalfpim 12952 sincosq3sgn 12957 sincosq4sgn 12958 cosq23lt0 12962 tangtx 12967 sincos4thpi 12969 sincos6thpi 12971 cosq34lt1 12979 rplogb1 13073 2logb9irr 13096 sqrt2cxp2logb9e3 13100 2logb9irrap 13102 ex-fl 13108 ex-exp 13110 ex-bc 13112 012of 13363 2o01f 13364 qdencn 13397 isomninnlem 13400 iswomninnlem 13417 ismkvnnlem 13419 |
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