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Mirrors > Home > ILE Home > Th. List > r19.2mOLD | Unicode version |
Description: Theorem 19.2 of [Margaris] p. 89 with restricted quantifiers (compare 19.2 1631). The restricted version is valid only when the domain of quantification is inhabited. (Contributed by Jim Kingdon, 5-Aug-2018.) Obsolete version of r19.2m 3501 as of 7-Apr-2023. (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
r19.2mOLD |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral 2453 | . . . 4 | |
2 | exintr 1627 | . . . 4 | |
3 | 1, 2 | sylbi 120 | . . 3 |
4 | df-rex 2454 | . . 3 | |
5 | 3, 4 | syl6ibr 161 | . 2 |
6 | 5 | impcom 124 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1346 wex 1485 wcel 2141 wral 2448 wrex 2449 |
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 1440 ax-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-4 1503 ax-ial 1527 |
This theorem depends on definitions: df-bi 116 df-ral 2453 df-rex 2454 |
This theorem is referenced by: (None) |
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