Step |
Hyp |
Ref |
Expression |
1 |
|
bnj570.3 |
|
2 |
|
bnj570.17 |
Could not format ( ta <-> ( f Fn m /\ ph' /\ ps' ) ) : No typesetting found for |- ( ta <-> ( f Fn m /\ ph' /\ ps' ) ) with typecode |- |
3 |
|
bnj570.19 |
|
4 |
|
bnj570.21 |
|
5 |
|
bnj570.24 |
|
6 |
|
bnj570.26 |
|
7 |
|
bnj570.40 |
|
8 |
|
bnj570.30 |
Could not format ( ps' <-> A. i e. _om ( suc i e. m -> ( f ` suc i ) = U_ y e. ( f ` i ) _pred ( y , A , R ) ) ) : No typesetting found for |- ( ps' <-> A. i e. _om ( suc i e. m -> ( f ` suc i ) = U_ y e. ( f ` i ) _pred ( y , A , R ) ) ) with typecode |- |
9 |
|
bnj251 |
|
10 |
2
|
simp3bi |
Could not format ( ta -> ps' ) : No typesetting found for |- ( ta -> ps' ) with typecode |- |
11 |
4
|
simp1bi |
|
12 |
11
|
adantl |
|
13 |
3 4
|
bnj563 |
|
14 |
12 13
|
jca |
|
15 |
8
|
bnj946 |
Could not format ( ps' <-> A. i ( i e. _om -> ( suc i e. m -> ( f ` suc i ) = U_ y e. ( f ` i ) _pred ( y , A , R ) ) ) ) : No typesetting found for |- ( ps' <-> A. i ( i e. _om -> ( suc i e. m -> ( f ` suc i ) = U_ y e. ( f ` i ) _pred ( y , A , R ) ) ) ) with typecode |- |
16 |
|
sp |
|
17 |
15 16
|
sylbi |
Could not format ( ps' -> ( i e. _om -> ( suc i e. m -> ( f ` suc i ) = U_ y e. ( f ` i ) _pred ( y , A , R ) ) ) ) : No typesetting found for |- ( ps' -> ( i e. _om -> ( suc i e. m -> ( f ` suc i ) = U_ y e. ( f ` i ) _pred ( y , A , R ) ) ) ) with typecode |- |
18 |
17
|
imp32 |
Could not format ( ( ps' /\ ( i e. _om /\ suc i e. m ) ) -> ( f ` suc i ) = U_ y e. ( f ` i ) _pred ( y , A , R ) ) : No typesetting found for |- ( ( ps' /\ ( i e. _om /\ suc i e. m ) ) -> ( f ` suc i ) = U_ y e. ( f ` i ) _pred ( y , A , R ) ) with typecode |- |
19 |
10 14 18
|
syl2an |
|
20 |
9 19
|
simplbiim |
|
21 |
7
|
bnj930 |
|
22 |
21
|
bnj721 |
|
23 |
6
|
bnj931 |
|
24 |
23
|
a1i |
|
25 |
|
bnj667 |
|
26 |
2
|
bnj564 |
|
27 |
|
eleq2 |
|
28 |
27
|
biimpar |
|
29 |
26 13 28
|
syl2an |
|
30 |
29
|
3impb |
|
31 |
25 30
|
syl |
|
32 |
22 24 31
|
bnj1502 |
|
33 |
2
|
simp1bi |
|
34 |
|
bnj252 |
|
35 |
34
|
simplbi |
|
36 |
3 35
|
sylbi |
|
37 |
|
eldifi |
|
38 |
37 1
|
eleq2s |
|
39 |
|
nnord |
|
40 |
36 38 39
|
3syl |
|
41 |
40
|
adantr |
|
42 |
41 13
|
jca |
|
43 |
33 42
|
anim12i |
|
44 |
|
fndm |
|
45 |
|
elelsuc |
|
46 |
|
ordsucelsuc |
|
47 |
46
|
biimpar |
|
48 |
45 47
|
sylan2 |
|
49 |
44 48
|
anim12i |
|
50 |
|
eleq2 |
|
51 |
50
|
biimpar |
|
52 |
43 49 51
|
3syl |
|
53 |
52
|
3impb |
|
54 |
25 53
|
syl |
|
55 |
22 24 54
|
bnj1502 |
|
56 |
55
|
iuneq1d |
|
57 |
20 32 56
|
3eqtr4d |
|
58 |
57 5
|
eqtr4di |
|