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Mirrors > Home > QLE Home > Th. List > negantlem6 | Unicode version |
Description: Negated antecedent identity. |
Ref | Expression |
---|---|
negant.1 |
Ref | Expression |
---|---|
negantlem6 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | negant.1 | . . . 4 | |
2 | 1 | negant 852 | . . 3 |
3 | 2 | negantlem5 853 | . 2 |
4 | ax-a1 30 | . . 3 | |
5 | 4 | ran 78 | . 2 |
6 | ax-a1 30 | . . 3 | |
7 | 6 | ran 78 | . 2 |
8 | 3, 5, 7 | 3tr1 63 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wn 4 wa 7 wi1 12 |
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-i1 44 df-le1 130 df-le2 131 df-c1 132 df-c2 133 |
This theorem is referenced by: negantlem8 856 negant2 858 |
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