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Mirrors > Home > ILE Home > Th. List > nfof | Unicode version |
Description: Hypothesis builder for function operation. (Contributed by Mario Carneiro, 20-Jul-2014.) |
Ref | Expression |
---|---|
nfof.1 |
Ref | Expression |
---|---|
nfof |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-of 5950 | . 2 | |
2 | nfcv 2258 | . . 3 | |
3 | nfcv 2258 | . . . 4 | |
4 | nfcv 2258 | . . . . 5 | |
5 | nfof.1 | . . . . 5 | |
6 | nfcv 2258 | . . . . 5 | |
7 | 4, 5, 6 | nfov 5769 | . . . 4 |
8 | 3, 7 | nfmpt 3990 | . . 3 |
9 | 2, 2, 8 | nfmpo 5808 | . 2 |
10 | 1, 9 | nfcxfr 2255 | 1 |
Colors of variables: wff set class |
Syntax hints: wnfc 2245 cvv 2660 cin 3040 cmpt 3959 cdm 4509 cfv 5093 (class class class)co 5742 cmpo 5744 cof 5948 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-3an 949 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-rex 2399 df-v 2662 df-un 3045 df-sn 3503 df-pr 3504 df-op 3506 df-uni 3707 df-br 3900 df-opab 3960 df-mpt 3961 df-iota 5058 df-fv 5101 df-ov 5745 df-oprab 5746 df-mpo 5747 df-of 5950 |
This theorem is referenced by: (None) |
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