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Mirrors > Home > ILE Home > Th. List > spimeh | Unicode version |
Description: Existential introduction, using implicit substitition. Compare Lemma 14 of [Tarski] p. 70. (Contributed by NM, 7-Aug-1994.) (Revised by NM, 3-Feb-2015.) (New usage is discouraged.) |
Ref | Expression |
---|---|
spimeh.1 | |
spimeh.2 |
Ref | Expression |
---|---|
spimeh |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | a9e 1626 | . 2 | |
2 | spimeh.1 | . . 3 | |
3 | spimeh.2 | . . . 4 | |
4 | 3 | com12 30 | . . 3 |
5 | 2, 4 | eximdh 1542 | . 2 |
6 | 1, 5 | mpi 15 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wal 1282 wceq 1284 wex 1421 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 ax-i9 1463 ax-ial 1467 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: (None) |
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