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Mirrors > Home > MPE Home > Th. List > nffvmpt1 | Structured version Visualization version Unicode version |
Description: Bound-variable hypothesis builder for mapping, special case. (Contributed by Mario Carneiro, 25-Dec-2016.) |
Ref | Expression |
---|---|
nffvmpt1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfmpt1 4747 | . 2 | |
2 | nfcv 2764 | . 2 | |
3 | 1, 2 | nffv 6198 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wnfc 2751 cmpt 4729 cfv 5888 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ral 2917 df-rex 2918 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-uni 4437 df-br 4654 df-opab 4713 df-mpt 4730 df-iota 5851 df-fv 5896 |
This theorem is referenced by: fvmptt 6300 fmptco 6396 offval2f 6909 offval2 6914 ofrfval2 6915 mptelixpg 7945 dom2lem 7995 cantnflem1 8586 acni2 8869 axcc2 9259 seqof2 12859 rlim2 14227 ello1mpt 14252 o1compt 14318 sumfc 14440 fsum 14451 fsumf1o 14454 sumss 14455 fsumcvg2 14458 fsumadd 14470 isummulc2 14493 fsummulc2 14516 fsumrelem 14539 isumshft 14571 zprod 14667 fprod 14671 prodfc 14675 fprodf1o 14676 fprodmul 14690 fproddiv 14691 iserodd 15540 prdsbas3 16141 prdsdsval2 16144 invfuc 16634 yonedalem4b 16916 gsumdixp 18609 evlslem4 19508 elptr2 21377 ptunimpt 21398 ptcldmpt 21417 ptclsg 21418 txcnp 21423 ptcnplem 21424 cnmpt1t 21468 cnmptk2 21489 flfcnp2 21811 voliun 23322 mbfeqalem 23409 mbfpos 23418 mbfposb 23420 mbfsup 23431 mbfinf 23432 mbflim 23435 i1fposd 23474 isibl2 23533 itgmpt 23549 itgeqa 23580 itggt0 23608 itgcn 23609 limcmpt 23647 lhop2 23778 itgsubstlem 23811 itgsubst 23812 elplyd 23958 coeeq2 23998 dgrle 23999 ulmss 24151 itgulm2 24163 leibpi 24669 rlimcnp 24692 o1cxp 24701 lgamgulmlem2 24756 lgamgulmlem6 24760 fmptcof2 29457 itggt0cn 33482 elrfirn2 37259 eq0rabdioph 37340 monotoddzz 37508 aomclem8 37631 fmuldfeq 39815 vonioo 40896 |
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