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Mirrors > Home > ILE Home > Th. List > df-cnp | Unicode version |
Description: Define a function on two topologies whose value is the set of continuous mappings at a specified point in the first topology. Based on Theorem 7.2(g) of [Munkres] p. 107. (Contributed by NM, 17-Oct-2006.) |
Ref | Expression |
---|---|
df-cnp |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ccnp 13656 |
. 2
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2 | vj |
. . 3
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3 | vk |
. . 3
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4 | ctop 13467 |
. . 3
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5 | vx |
. . . 4
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6 | 2 | cv 1352 |
. . . . 5
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7 | 6 | cuni 3809 |
. . . 4
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8 | 5 | cv 1352 |
. . . . . . . . 9
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9 | vf |
. . . . . . . . . 10
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10 | 9 | cv 1352 |
. . . . . . . . 9
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11 | 8, 10 | cfv 5216 |
. . . . . . . 8
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12 | vy |
. . . . . . . . 9
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13 | 12 | cv 1352 |
. . . . . . . 8
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14 | 11, 13 | wcel 2148 |
. . . . . . 7
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15 | vg |
. . . . . . . . . 10
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16 | 5, 15 | wel 2149 |
. . . . . . . . 9
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17 | 15 | cv 1352 |
. . . . . . . . . . 11
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18 | 10, 17 | cima 4629 |
. . . . . . . . . 10
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19 | 18, 13 | wss 3129 |
. . . . . . . . 9
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20 | 16, 19 | wa 104 |
. . . . . . . 8
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21 | 20, 15, 6 | wrex 2456 |
. . . . . . 7
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22 | 14, 21 | wi 4 |
. . . . . 6
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23 | 3 | cv 1352 |
. . . . . 6
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24 | 22, 12, 23 | wral 2455 |
. . . . 5
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25 | 23 | cuni 3809 |
. . . . . 6
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26 | cmap 6647 |
. . . . . 6
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27 | 25, 7, 26 | co 5874 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
28 | 24, 9, 27 | crab 2459 |
. . . 4
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29 | 5, 7, 28 | cmpt 4064 |
. . 3
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30 | 2, 3, 4, 4, 29 | cmpo 5876 |
. 2
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31 | 1, 30 | wceq 1353 |
1
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Colors of variables: wff set class |
This definition is referenced by: cnpfval 13665 cnprcl2k 13676 |
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