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Mirrors > Home > ILE Home > Th. List > tz6.12-2 | Unicode version |
Description: Function value when is not a function. Theorem 6.12(2) of [TakeutiZaring] p. 27. (Contributed by NM, 30-Apr-2004.) (Proof shortened by Mario Carneiro, 31-Aug-2015.) |
Ref | Expression |
---|---|
tz6.12-2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fv 4930 | . 2 | |
2 | iotanul 4902 | . 2 | |
3 | 1, 2 | syl5eq 2125 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wceq 1284 weu 1941 c0 3251 class class class wbr 3785 cio 4885 cfv 4922 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-fal 1290 df-nf 1390 df-sb 1686 df-eu 1944 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-ral 2353 df-rex 2354 df-v 2603 df-dif 2975 df-in 2979 df-ss 2986 df-nul 3252 df-sn 3404 df-uni 3602 df-iota 4887 df-fv 4930 |
This theorem is referenced by: fvprc 5192 ndmfvg 5225 nfunsn 5228 |
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