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Mirrors > Home > ILE Home > Th. List > df-smo | Unicode version |
Description: Definition of a strictly monotone ordinal function. Definition 7.46 in [TakeutiZaring] p. 50. (Contributed by Andrew Salmon, 15-Nov-2011.) |
Ref | Expression |
---|---|
df-smo |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | 1 | wsmo 6175 | . 2 |
3 | 1 | cdm 4534 | . . . 4 |
4 | con0 4280 | . . . 4 | |
5 | 3, 4, 1 | wf 5114 | . . 3 |
6 | 3 | word 4279 | . . 3 |
7 | vx | . . . . . . 7 | |
8 | vy | . . . . . . 7 | |
9 | 7, 8 | wel 1481 | . . . . . 6 |
10 | 7 | cv 1330 | . . . . . . . 8 |
11 | 10, 1 | cfv 5118 | . . . . . . 7 |
12 | 8 | cv 1330 | . . . . . . . 8 |
13 | 12, 1 | cfv 5118 | . . . . . . 7 |
14 | 11, 13 | wcel 1480 | . . . . . 6 |
15 | 9, 14 | wi 4 | . . . . 5 |
16 | 15, 8, 3 | wral 2414 | . . . 4 |
17 | 16, 7, 3 | wral 2414 | . . 3 |
18 | 5, 6, 17 | w3a 962 | . 2 |
19 | 2, 18 | wb 104 | 1 |
Colors of variables: wff set class |
This definition is referenced by: dfsmo2 6177 issmo 6178 smoeq 6180 smodm 6181 smores 6182 smofvon 6189 smoel 6190 smoiso 6192 |
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