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Mirrors > Home > ILE Home > Th. List > exlimdd | Unicode version |
Description: Existential elimination rule of natural deduction. (Contributed by Mario Carneiro, 9-Feb-2017.) |
Ref | Expression |
---|---|
exlimdd.1 | |
exlimdd.2 | |
exlimdd.3 | |
exlimdd.4 |
Ref | Expression |
---|---|
exlimdd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | exlimdd.3 | . 2 | |
2 | exlimdd.1 | . . 3 | |
3 | exlimdd.2 | . . 3 | |
4 | exlimdd.4 | . . . 4 | |
5 | 4 | ex 114 | . . 3 |
6 | 2, 3, 5 | exlimd 1576 | . 2 |
7 | 1, 6 | mpd 13 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wnf 1436 wex 1468 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ie2 1470 ax-4 1487 |
This theorem depends on definitions: df-bi 116 df-nf 1437 |
This theorem is referenced by: fvmptdf 5508 ovmpodf 5902 exmidfodomrlemr 7058 exmidfodomrlemrALT 7059 ltexprlemm 7408 |
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