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[BUG] Replacing Variables laws bug #145

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Bram28 opened this issue Feb 4, 2025 · 0 comments
Open

[BUG] Replacing Variables laws bug #145

Bram28 opened this issue Feb 4, 2025 · 0 comments
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@Bram28
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Bram28 commented Feb 4, 2025

Description

Replacing Bound variables (equivalence -> Quantifiers) law checks out when it shouldn't and vice versa

Steps to Reproduce

Image

This should check out! .. the fact that the x's being replaced by y's occurs inside another x quantifier should not matter

And this one:

Image

does check, but it should not: replacing the x from the universal quantifier Ax with a y to Ay means we should change any x inside the scope of that quantifier to a y as well, i.e. P(x) should change to P(y)

Expected Behavior

see above

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Additional Context

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@Bram28 Bram28 added the bug Something isn't working label Feb 4, 2025
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