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Mirrors > Home > ILE Home > Th. List > nffvmpt1 | Unicode version |
Description: Bound-variable hypothesis builder for mapping, special case. (Contributed by Mario Carneiro, 25-Dec-2016.) |
Ref | Expression |
---|---|
nffvmpt1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfmpt1 3929 |
. 2
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2 | nfcv 2228 |
. 2
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3 | 1, 2 | nffv 5309 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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-io 665 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-bndl 1444 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-3an 926 df-tru 1292 df-nf 1395 df-sb 1693 df-clab 2075 df-cleq 2081 df-clel 2084 df-nfc 2217 df-rex 2365 df-v 2621 df-un 3003 df-sn 3450 df-pr 3451 df-op 3453 df-uni 3652 df-br 3844 df-opab 3898 df-mpt 3899 df-iota 4975 df-fv 5018 |
This theorem is referenced by: fvmptt 5388 fmptco 5458 offval2 5862 ofrfval2 5863 dom2lem 6479 fsumf1o 10769 fisumcvg2 10773 fsum3cvg2 10774 fsumadd 10787 isummulc2 10807 isumshft 10871 |
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