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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 4111 |
. 2
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2 | nfcv 2332 |
. 2
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3 | 1, 2 | nffv 5544 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-3an 982 df-tru 1367 df-nf 1472 df-sb 1774 df-clab 2176 df-cleq 2182 df-clel 2185 df-nfc 2321 df-rex 2474 df-v 2754 df-un 3148 df-sn 3613 df-pr 3614 df-op 3616 df-uni 3825 df-br 4019 df-opab 4080 df-mpt 4081 df-iota 5196 df-fv 5243 |
This theorem is referenced by: fvmptt 5628 fmptco 5703 offval2 6122 ofrfval2 6123 mptelixpg 6760 dom2lem 6798 cc2 7296 fsumf1o 11430 fsum3cvg2 11434 fsumadd 11446 isummulc2 11466 isumshft 11530 fprodf1o 11628 txcnp 14228 cnmpt1t 14242 |
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