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Mirrors > Home > ILE Home > Th. List > zcnd | Unicode version |
Description: An integer is a complex number. (Contributed by Mario Carneiro, 28-May-2016.) |
Ref | Expression |
---|---|
zred.1 |
Ref | Expression |
---|---|
zcnd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | zred.1 | . . 3 | |
2 | 1 | zred 8360 | . 2 |
3 | 2 | recnd 7054 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1393 cc 6887 cz 8245 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 ax-resscn 6976 |
This theorem depends on definitions: df-bi 110 df-3or 886 df-3an 887 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-rex 2312 df-rab 2315 df-v 2559 df-un 2922 df-in 2924 df-ss 2931 df-sn 3381 df-pr 3382 df-op 3384 df-uni 3581 df-br 3765 df-iota 4867 df-fv 4910 df-ov 5515 df-neg 7185 df-z 8246 |
This theorem is referenced by: qapne 8574 fzm1 8962 fzrevral 8967 fzshftral 8970 nn0disj 8995 fzoss2 9028 fzosubel 9050 fzosubel3 9052 fzocatel 9055 fzosplitsnm1 9065 qtri3or 9098 qbtwnzlemstep 9103 qbtwnzlemex 9105 rebtwn2zlemstep 9107 rebtwn2z 9109 flqaddz 9139 flqzadd 9140 2tnp1ge0ge0 9143 ceiqm1l 9153 intqfrac2 9161 intfracq 9162 flqdiv 9163 modqvalr 9167 flqpmodeq 9169 modq0 9171 mulqmod0 9172 modqlt 9175 modqdiffl 9177 modqfrac 9179 flqmod 9180 intqfrac 9181 modqmulnn 9184 frecfzen2 9204 monoord2 9236 expaddzaplem 9298 fzomaxdif 9709 climshft2 9827 iiserex 9859 serif0 9871 sqr2irrlem 9877 |
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