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Mirrors > Home > ILE Home > Th. List > strnfvn | Unicode version |
Description: Value of a structure
component extractor .
Normally, is a
defined constant symbol such as (df-base 12343) and is a
fixed integer such as . is a
structure, i.e. a specific
member of a class of structures.
Note: Normally, this theorem shouldn't be used outside of this section, because it requires hard-coded index values. Instead, use strslfv 12381. (Contributed by NM, 9-Sep-2011.) (Revised by Jim Kingdon, 19-Jan-2023.) (New usage is discouraged.) |
Ref | Expression |
---|---|
strnfvn.f | |
strnfvn.c | Slot |
strnfvn.n |
Ref | Expression |
---|---|
strnfvn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | strnfvn.c | . . 3 Slot | |
2 | strnfvn.f | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | strnfvn.n | . . . 4 | |
5 | 4 | a1i 9 | . . 3 |
6 | 1, 3, 5 | strnfvnd 12357 | . 2 |
7 | 6 | mptru 1351 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1342 wtru 1343 wcel 2135 cvv 2721 cfv 5182 cn 8848 Slot cslot 12336 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-10 1492 ax-11 1493 ax-i12 1494 ax-bndl 1496 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-13 2137 ax-14 2138 ax-ext 2146 ax-sep 4094 ax-pow 4147 ax-pr 4181 ax-un 4405 |
This theorem depends on definitions: df-bi 116 df-3an 969 df-tru 1345 df-nf 1448 df-sb 1750 df-eu 2016 df-mo 2017 df-clab 2151 df-cleq 2157 df-clel 2160 df-nfc 2295 df-ral 2447 df-rex 2448 df-v 2723 df-sbc 2947 df-un 3115 df-in 3117 df-ss 3124 df-pw 3555 df-sn 3576 df-pr 3577 df-op 3579 df-uni 3784 df-br 3977 df-opab 4038 df-mpt 4039 df-id 4265 df-xp 4604 df-rel 4605 df-cnv 4606 df-co 4607 df-dm 4608 df-rn 4609 df-iota 5147 df-fun 5184 df-fv 5190 df-slot 12341 |
This theorem is referenced by: ndxarg 12360 strsl0 12385 baseval 12389 |
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