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Mirrors > Home > ILE Home > Th. List > Mathboxes > bj-axempty2 | Unicode version |
Description: Axiom of the empty set from bounded separation, alternate version to bj-axempty 13262. (Contributed by BJ, 27-Oct-2020.) (Proof modification is discouraged.) Use ax-nul 4062 instead. (New usage is discouraged.) |
Ref | Expression |
---|---|
bj-axempty2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | bj-axemptylem 13261 |
. 2
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2 | dfnot 1350 |
. . . 4
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3 | 2 | albii 1447 |
. . 3
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4 | 3 | exbii 1585 |
. 2
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5 | 1, 4 | mpbir 145 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
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-in1 604 ax-in2 605 ax-5 1424 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-4 1488 ax-ial 1515 ax-bd0 13182 ax-bdim 13183 ax-bdn 13186 ax-bdeq 13189 ax-bdsep 13253 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-fal 1338 |
This theorem is referenced by: (None) |
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