Database
BASIC STRUCTURES
Extensible structures
Basic definitions
Extensible structures as structures with components
structex
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structn0fun
Metamath Proof Explorer
Ascii
Structured
Theorem
structex
Description:
A structure is a set.
(Contributed by
AV
, 10-Nov-2021)
Ref
Expression
Assertion
structex
⊢
(
𝐺
Struct
𝑋
→
𝐺
∈ V )
Proof
Step
Hyp
Ref
Expression
1
brstruct
⊢
Rel Struct
2
1
brrelex1i
⊢
(
𝐺
Struct
𝑋
→
𝐺
∈ V )