Theorem.
(coll),
(coll),
(sv),
(sv),
(
,
), (
,
), (
,
),
( bound in ) |
( bound in ) |
( bound in (![]() ![]() )) |
| Hyp | Ref | Line | Expr |
| Hypo | 1 | ( bound in ) | |
| 2 | ( bound in ) | ||
| 2 | df-bvt | 3 | ( bound in (![]() ![]() )) |
| 1 | df-bvt | 4 | ( bound in (![]() ![]() )) |
| 3, 4 | bv-↔ | 5 | ( bound in ((![]() ![]() ) (![]() ![]() ))) |
| 5 | bv-∀ | 6 | ( bound in ![]() ((![]() ![]() ) (![]() ![]() ))) |
| df-equ | 7 | ((![]() ![]() )![]() ![]() ((![]() ![]() ) (![]() ![]() ))) | |
| 6, 7 | bvdef | 8 | ( bound in (![]() ![]() )) |