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Mirrors > Home > ILE Home > Th. List > fv2 | Unicode version |
Description: Alternate definition of function value. Definition 10.11 of [Quine] p. 68. (Contributed by NM, 30-Apr-2004.) (Proof shortened by Andrew Salmon, 17-Sep-2011.) (Revised by Mario Carneiro, 31-Aug-2015.) |
Ref | Expression |
---|---|
fv2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fv 5131 | . 2 | |
2 | dfiota2 5089 | . 2 | |
3 | 1, 2 | eqtri 2160 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wal 1329 wceq 1331 cab 2125 cuni 3736 class class class wbr 3929 cio 5086 cfv 5123 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-rex 2422 df-sn 3533 df-uni 3737 df-iota 5088 df-fv 5131 |
This theorem is referenced by: elfv 5419 |
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