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Mirrors > Home > ILE Home > Th. List > alrot4 | Unicode version |
Description: Rotate 4 universal quantifiers twice. (Contributed by NM, 2-Feb-2005.) (Proof shortened by Wolf Lammen, 28-Jun-2014.) |
Ref | Expression |
---|---|
alrot4 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alrot3 1414 | . . 3 | |
2 | 1 | albii 1399 | . 2 |
3 | alcom 1407 | . 2 | |
4 | alcom 1407 | . . 3 | |
5 | 4 | albii 1399 | . 2 |
6 | 2, 3, 5 | 3bitri 204 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 103 wal 1282 |
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-7 1377 ax-gen 1378 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: fun11 4986 |
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