Mathbox for BJ |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > Mathboxes > bj-exlime | Structured version Visualization version Unicode version |
Description: Variant of exlimih 2148 where the non-freeness of in is expressed using an existential quantifier, thus requiring fewer axioms. (Contributed by BJ, 17-Mar-2020.) |
Ref | Expression |
---|---|
bj-exlime.1 | |
bj-exlime.2 |
Ref | Expression |
---|---|
bj-exlime |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-exlime.2 | . . 3 | |
2 | 1 | eximi 1762 | . 2 |
3 | bj-exlime.1 | . 2 | |
4 | 2, 3 | syl 17 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wex 1704 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 |
This theorem depends on definitions: df-bi 197 df-ex 1705 |
This theorem is referenced by: bj-cbvexiw 32659 |
Copyright terms: Public domain | W3C validator |