![]() |
Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > MPE Home > Th. List > nfim1 | Structured version Visualization version Unicode version |
Description: A closed form of nfim 2023. (Contributed by NM, 2-Jun-1993.) (Revised by Mario Carneiro, 24-Sep-2016.) (Proof shortened by Wolf Lammen, 2-Jan-2018.) |
Ref | Expression |
---|---|
nfim1.1 |
![]() ![]() ![]() ![]() |
nfim1.2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfim1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfim1.1 |
. . . 4
![]() ![]() ![]() ![]() | |
2 | 1 | nfri 1972 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
3 | nfim1.2 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | 3 | nfrd 1973 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | 2, 4 | hbim1 2021 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
6 | 5 | nfi 1682 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1677 ax-4 1690 ax-5 1766 ax-6 1813 ax-7 1859 ax-10 1932 ax-12 1950 |
This theorem depends on definitions: df-bi 190 df-ex 1672 df-nf 1676 |
This theorem is referenced by: nfim 2023 cbv1 2123 dvelimdf 2184 sbied 2258 sbco2d 2265 bj-cbv1v 31396 |
Copyright terms: Public domain | W3C validator |