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Mirrors > Home > QLE Home > Th. List > gt1 | Unicode version |
Description: Part of Lemma 1 from Gaisi Takeuti, "Quantum Set Theory". |
Ref | Expression |
---|---|
gt1.1 | |
gt1.2 | |
gt1.3 |
Ref | Expression |
---|---|
gt1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | gt1.1 | . 2 | |
2 | gt1.2 | . . . . . 6 | |
3 | 2 | lecom 180 | . . . . 5 |
4 | 3 | comcom 453 | . . . 4 |
5 | gt1.3 | . . . . . . 7 | |
6 | 5 | lecom 180 | . . . . . 6 |
7 | 6 | comcom7 460 | . . . . 5 |
8 | 7 | comcom 453 | . . . 4 |
9 | 4, 8 | com2or 483 | . . 3 |
10 | 9 | comcom 453 | . 2 |
11 | 1, 10 | bctr 181 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wle 2 wc 3 wn 4 wo 6 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a4 33 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 ax-r3 439 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-le1 130 df-le2 131 df-c1 132 df-c2 133 |
This theorem is referenced by: (None) |
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