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 2450, 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 108 | . . . . 5 |
3 | 2 | ralrimiva 2392 | . . . 4 |
4 | 3 | ralrimiva 2392 | . . 3 |
5 | r19.29vva.2 | . . 3 | |
6 | 4, 5 | r19.29d2r 2455 | . 2 |
7 | pm3.35 329 | . . . . 5 | |
8 | 7 | ancoms 255 | . . . 4 |
9 | 8 | rexlimivw 2429 | . . 3 |
10 | 9 | rexlimivw 2429 | . 2 |
11 | 6, 10 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 wcel 1393 wral 2306 wrex 2307 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-5 1336 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 ax-17 1419 ax-ial 1427 ax-i5r 1428 |
This theorem depends on definitions: df-bi 110 df-nf 1350 df-ral 2311 df-rex 2312 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |