![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > elvd | Unicode version |
Description: Technical lemma used to
shorten proofs. If a proposition is implied by
![]() ![]() ![]() |
Ref | Expression |
---|---|
elvd.1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
elvd |
![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vex 2658 |
. 2
![]() ![]() ![]() ![]() | |
2 | elvd.1 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | 1, 2 | mpan2 419 |
1
![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1404 ax-gen 1406 ax-ie1 1450 ax-ie2 1451 ax-8 1463 ax-4 1468 ax-17 1487 ax-i9 1491 ax-ial 1495 ax-ext 2095 |
This theorem depends on definitions: df-bi 116 df-sb 1717 df-clab 2100 df-cleq 2106 df-clel 2109 df-v 2657 |
This theorem is referenced by: omp1eomlem 6929 imasnopn 12304 |
Copyright terms: Public domain | W3C validator |