Metamath Proof Explorer


Theorem struct2grstr

Description: A graph represented as an extensible structure with vertices as base set and indexed edges is actually an extensible structure. (Contributed by AV, 23-Nov-2020)

Ref Expression
Hypothesis struct2grvtx.g G = Base ndx V ef ndx E
Assertion struct2grstr G Struct Base ndx ef ndx

Proof

Step Hyp Ref Expression
1 struct2grvtx.g G = Base ndx V ef ndx E
2 baseltedgf Base ndx < ef ndx
3 edgfndxnn ef ndx
4 1 2 3 2strstr1 G Struct Base ndx ef ndx