![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > nf3an | Unicode version |
Description: If ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nfan.1 |
![]() ![]() ![]() ![]() |
nfan.2 |
![]() ![]() ![]() ![]() |
nfan.3 |
![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
nf3an |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3an 982 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | nfan.1 |
. . . 4
![]() ![]() ![]() ![]() | |
3 | nfan.2 |
. . . 4
![]() ![]() ![]() ![]() | |
4 | 2, 3 | nfan 1576 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | nfan.3 |
. . 3
![]() ![]() ![]() ![]() | |
6 | 4, 5 | nfan 1576 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
7 | 1, 6 | nfxfr 1485 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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-5 1458 ax-gen 1460 ax-4 1521 |
This theorem depends on definitions: df-bi 117 df-3an 982 df-nf 1472 |
This theorem is referenced by: vtocl3gaf 2821 mob 2934 nfop 3809 mkvprop 7186 seq3f1olemstep 10532 seq3f1olemp 10533 nfsum1 11396 nfsum 11397 dfgrp3mlem 13042 |
Copyright terms: Public domain | W3C validator |