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Compatible forcing conditions
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Foundations of mathematics
Set theory
Forcing
Created
2026-09-24
Updated
2026-09-24
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Two
forcing
conditions are compatible when they have
a
common stronger extension. In standard notation this
means
that some
r
satisfies
r
≤
p
,
q
; in
Jerusalem notation for forcing
it
means
that some
r
satisfies
p
,
q
≤
r
.
Table of contents
Incompatible forcing conditions
Compatible forcing conditions
Incompatible forcing conditions
0
0
0
Compatible forcing conditions
Two
forcing
conditions are incompatible when they have no common stronger extension.
Ancestors
(6)
Forcing
Set theory
Foundations of mathematics
Area of mathematics
Mathematics
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