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Mirrors > Home > NFE Home > Th. List > mpjaodan | Unicode version |
Description: Eliminate a disjunction in a deduction. A translation of natural deduction rule E ( elimination), see natded in set.mm. (Contributed by Mario Carneiro, 29-May-2016.) |
Ref | Expression |
---|---|
jaodan.1 | |
jaodan.2 | |
jaodan.3 |
Ref | Expression |
---|---|
mpjaodan |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | jaodan.3 | . 2 | |
2 | jaodan.1 | . . 3 | |
3 | jaodan.2 | . . 3 | |
4 | 2, 3 | jaodan 760 | . 2 |
5 | 1, 4 | mpdan 649 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wo 357 wa 358 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 |
This theorem is referenced by: (None) |
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