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| Mirrors > Home > ILE Home > Th. List > fvconst2g | Unicode version | ||
| Description: The value of a constant function. (Contributed by NM, 20-Aug-2005.) |
| Ref | Expression |
|---|---|
| fvconst2g |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | fconstg 5471 |
. 2
| |
| 2 | fvconst 5771 |
. 2
| |
| 3 | 1, 2 | sylan 283 |
1
|
| 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 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1469 ax-7 1470 ax-gen 1471 ax-ie1 1515 ax-ie2 1516 ax-8 1526 ax-10 1527 ax-11 1528 ax-i12 1529 ax-bndl 1531 ax-4 1532 ax-17 1548 ax-i9 1552 ax-ial 1556 ax-i5r 1557 ax-14 2178 ax-ext 2186 ax-sep 4161 ax-pow 4217 ax-pr 4252 |
| This theorem depends on definitions: df-bi 117 df-3an 982 df-tru 1375 df-nf 1483 df-sb 1785 df-eu 2056 df-mo 2057 df-clab 2191 df-cleq 2197 df-clel 2200 df-nfc 2336 df-ral 2488 df-rex 2489 df-v 2773 df-sbc 2998 df-un 3169 df-in 3171 df-ss 3178 df-pw 3617 df-sn 3638 df-pr 3639 df-op 3641 df-uni 3850 df-br 4044 df-opab 4105 df-mpt 4106 df-id 4339 df-xp 4680 df-rel 4681 df-cnv 4682 df-co 4683 df-dm 4684 df-rn 4685 df-iota 5231 df-fun 5272 df-fn 5273 df-f 5274 df-fv 5278 |
| This theorem is referenced by: fconst2g 5798 fvconst2 5799 ofc1g 6179 ofc2g 6180 caofid0l 6184 caofid0r 6185 caofid1 6186 caofid2 6187 ser0 10676 exp3vallem 10683 exp3val 10684 exp1 10688 expp1 10689 resqrexlem1arp 11258 resqrexlemf1 11261 climconst2 11544 climaddc1 11582 climmulc2 11584 climsubc1 11585 climsubc2 11586 climlec2 11594 prodf1 11795 prod0 11838 ialgrlemconst 12307 ialgr0 12308 algrf 12309 algrp1 12310 pwsbas 13066 pwsplusgval 13069 pwsmulrval 13070 0mhm 13260 pwsinvg 13386 mulgval 13400 mulgfng 13402 mulgnngsum 13405 mulg1 13407 mulgnnp1 13408 mulgnnsubcl 13412 mulgnn0z 13427 mulgnndir 13429 mplsubgfilemm 14402 lmconst 14630 cnconst2 14647 dvidlemap 15105 dvidrelem 15106 dvidsslem 15107 dvconst 15108 dvconstre 15110 dvconstss 15112 dvef 15141 |
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