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Mirrors > Home > ILE Home > Th. List > Mathboxes > ax-bdsb | Unicode version |
Description: A formula resulting from proper substitution in a bounded formula is bounded. This probably cannot be proved from the other axioms, since neither the definiens in df-sb 1763, nor probably any other equivalent formula, is syntactically bounded. (Contributed by BJ, 3-Oct-2019.) |
Ref | Expression |
---|---|
bdsb.1 |
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Ref | Expression |
---|---|
ax-bdsb |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph |
. . 3
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2 | vx |
. . 3
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3 | vy |
. . 3
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4 | 1, 2, 3 | wsb 1762 |
. 2
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5 | 4 | wbd 14484 |
1
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Colors of variables: wff set class |
This axiom is referenced by: bdab 14510 bdph 14522 bdsbc 14530 bdcriota 14555 |
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