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Mirrors > Home > ILE Home > Th. List > 19.41h | Unicode version |
Description: Theorem 19.41 of [Margaris] p. 90. New proofs should use 19.41 1649 instead. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) (New usage is discouraged.) |
Ref | Expression |
---|---|
19.41h.1 |
Ref | Expression |
---|---|
19.41h |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.40 1595 | . . 3 | |
2 | 19.41h.1 | . . . . 5 | |
3 | id 19 | . . . . 5 | |
4 | 2, 3 | exlimih 1557 | . . . 4 |
5 | 4 | anim2i 339 | . . 3 |
6 | 1, 5 | syl 14 | . 2 |
7 | pm3.21 262 | . . . 4 | |
8 | 2, 7 | eximdh 1575 | . . 3 |
9 | 8 | impcom 124 | . 2 |
10 | 6, 9 | impbii 125 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wb 104 wal 1314 wex 1453 |
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 1408 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: 19.42h 1650 sbh 1734 sbidm 1807 19.41v 1858 2exeu 2069 |
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