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Mirrors > Home > ILE Home > Th. List > Mathboxes > 2spim | Unicode version |
Description: Double substitution, as in spim 1716. (Contributed by BJ, 17-Oct-2019.) |
Ref | Expression |
---|---|
2spim.nfx | |
2spim.nfz | |
2spim.1 |
Ref | Expression |
---|---|
2spim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2spim.nfz | . 2 | |
2 | 2spim.nfx | . . . 4 | |
3 | 2 | a1i 9 | . . 3 |
4 | 2spim.1 | . . . . 5 | |
5 | 4 | expcom 115 | . . . 4 |
6 | 5 | alrimiv 1846 | . . 3 |
7 | 3, 6 | spimd 12982 | . 2 |
8 | 1, 7 | spim 1716 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1329 wnf 1436 |
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-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-nf 1437 |
This theorem is referenced by: ch2var 12984 |
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