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Mirrors > Home > ILE Home > Th. List > bnd | Unicode version |
Description: A very strong generalization of the Axiom of Replacement (compare zfrep6 4104). Its strength lies in the rather profound fact that does not have to be a "function-like" wff, as it does in the standard Axiom of Replacement. This theorem is sometimes called the Boundedness Axiom. In the context of IZF, it is just a slight variation of ax-coll 4102. (Contributed by NM, 17-Oct-2004.) |
Ref | Expression |
---|---|
bnd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1521 | . 2 | |
2 | 1 | ax-coll 4102 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wex 1485 wral 2448 wrex 2449 |
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-gen 1442 ax-17 1519 ax-coll 4102 |
This theorem depends on definitions: df-bi 116 df-nf 1454 |
This theorem is referenced by: bnd2 4157 |
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