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Mirrors > Home > MPE Home > Th. List > vtocldf | Structured version Visualization version Unicode version |
Description: Implicit substitution of a class for a setvar variable. (Contributed by Mario Carneiro, 15-Oct-2016.) |
Ref | Expression |
---|---|
vtocld.1 | |
vtocld.2 | |
vtocld.3 | |
vtocldf.4 | |
vtocldf.5 | |
vtocldf.6 |
Ref | Expression |
---|---|
vtocldf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vtocldf.5 | . 2 | |
2 | vtocldf.6 | . 2 | |
3 | vtocldf.4 | . . 3 | |
4 | vtocld.2 | . . . 4 | |
5 | 4 | ex 450 | . . 3 |
6 | 3, 5 | alrimi 2082 | . 2 |
7 | vtocld.3 | . . 3 | |
8 | 3, 7 | alrimi 2082 | . 2 |
9 | vtocld.1 | . 2 | |
10 | vtoclgft 3254 | . 2 | |
11 | 1, 2, 6, 8, 9, 10 | syl221anc 1337 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 196 wa 384 wal 1481 wceq 1483 wnf 1708 wcel 1990 wnfc 2751 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-v 3202 |
This theorem is referenced by: vtocld 3257 iota2df 5875 riotasv2d 34243 |
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