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Mirrors > Home > ILE Home > Th. List > Mathboxes > ch2var | Unicode version |
Description: Implicit substitution of for and for into a theorem. (Contributed by BJ, 17-Oct-2019.) |
Ref | Expression |
---|---|
ch2var.nfx | |
ch2var.nfz | |
ch2var.maj | |
ch2var.min |
Ref | Expression |
---|---|
ch2var |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ch2var.nfx | . . 3 | |
2 | ch2var.nfz | . . 3 | |
3 | ch2var.maj | . . . 4 | |
4 | 3 | biimpd 132 | . . 3 |
5 | 1, 2, 4 | 2spim 9906 | . 2 |
6 | ch2var.min | . . 3 | |
7 | 6 | ax-gen 1338 | . 2 |
8 | 5, 7 | mpg 1340 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wb 98 wal 1241 wnf 1349 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 |
This theorem depends on definitions: df-bi 110 df-nf 1350 |
This theorem is referenced by: ch2varv 9908 |
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