Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > fmpttd | Unicode version |
Description: Version of fmptd 5574 with inlined definition. Domain and codomain of the mapping operation; deduction form. (Contributed by Glauco Siliprandi, 23-Oct-2021.) (Proof shortened by BJ, 16-Aug-2022.) |
Ref | Expression |
---|---|
fmpttd.1 |
Ref | Expression |
---|---|
fmpttd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fmpttd.1 | . 2 | |
2 | eqid 2139 | . 2 | |
3 | 1, 2 | fmptd 5574 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wcel 1480 cmpt 3989 wf 5119 |
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-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 ax-sep 4046 ax-pow 4098 ax-pr 4131 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-eu 2002 df-mo 2003 df-clab 2126 df-cleq 2132 df-clel 2135 df-nfc 2270 df-ral 2421 df-rex 2422 df-rab 2425 df-v 2688 df-sbc 2910 df-un 3075 df-in 3077 df-ss 3084 df-pw 3512 df-sn 3533 df-pr 3534 df-op 3536 df-uni 3737 df-br 3930 df-opab 3990 df-mpt 3991 df-id 4215 df-xp 4545 df-rel 4546 df-cnv 4547 df-co 4548 df-dm 4549 df-rn 4550 df-res 4551 df-ima 4552 df-iota 5088 df-fun 5125 df-fn 5126 df-f 5127 df-fv 5131 |
This theorem is referenced by: fmpt3d 5576 ctmlemr 6993 ctssdclemn0 6995 ctssdc 6998 ismkvnex 7029 fsumf1o 11162 isumss 11163 fisumss 11164 fsumcl2lem 11170 fsumadd 11178 isumclim3 11195 isummulc2 11198 fsummulc2 11220 isumshft 11262 prodfdivap 11319 tgrest 12341 resttopon 12343 rest0 12351 cnpfval 12367 txcnp 12443 uptx 12446 cnmpt11 12455 bdxmet 12673 cncfmptc 12754 cncfmptid 12755 cdivcncfap 12759 mulcncf 12763 limcmpted 12804 dvfgg 12829 dvcnp2cntop 12835 dvmulxxbr 12838 dvcjbr 12844 dvexp 12847 dvrecap 12849 dvmptclx 12852 dvmptaddx 12853 dvmptmulx 12854 dvef 12859 subctctexmid 13199 nninffeq 13219 |
Copyright terms: Public domain | W3C validator |