Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > r19.29vva | Unicode version |
Description: A commonly used pattern based on r19.29 2569, version with two restricted quantifiers. (Contributed by Thierry Arnoux, 26-Nov-2017.) |
Ref | Expression |
---|---|
r19.29vva.1 | |
r19.29vva.2 |
Ref | Expression |
---|---|
r19.29vva |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | r19.29vva.1 | . . . . . 6 | |
2 | 1 | ex 114 | . . . . 5 |
3 | 2 | ralrimiva 2505 | . . . 4 |
4 | 3 | ralrimiva 2505 | . . 3 |
5 | r19.29vva.2 | . . 3 | |
6 | 4, 5 | r19.29d2r 2576 | . 2 |
7 | pm3.35 344 | . . . . 5 | |
8 | 7 | ancoms 266 | . . . 4 |
9 | 8 | rexlimivw 2545 | . . 3 |
10 | 9 | rexlimivw 2545 | . 2 |
11 | 6, 10 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wcel 1480 wral 2416 wrex 2417 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-ral 2421 df-rex 2422 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |