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SUPPLEMENTARY MATERIAL (USERS' MATHBOXES)
Mathbox for Thierry Arnoux
Abstract measure
The 'almost everywhere' relation
relae
Next ⟩
brae
Metamath Proof Explorer
Ascii
Structured
Theorem
relae
Description:
'almost everywhere' is a relation.
(Contributed by
Thierry Arnoux
, 20-Oct-2017)
Ref
Expression
Assertion
relae
⊢
Rel a.e.
Proof
Step
Hyp
Ref
Expression
1
df-ae
⊢
a.e. = { 〈
𝑎
,
𝑚
〉 ∣ (
𝑚
‘ (
∪
dom
𝑚
∖
𝑎
) ) = 0 }
2
1
relopabiv
⊢
Rel a.e.