Step * 1 of Lemma agree_on_common_iseg


1. [T] Type
⊢ ∀bs2,as1,bs1:T List.  (as1 ≤ []  bs1 ≤ bs2  agree_on_common(T;[];bs2)  agree_on_common(T;as1;bs1))
BY
((Auto THEN Subst as1 [] ∈ (T List) 0) THEN Auto) }

1
.....equality..... 
1. Type
2. bs2 List
3. as1 List
4. bs1 List
5. as1 ≤ []
6. bs1 ≤ bs2
7. agree_on_common(T;[];bs2)
⊢ as1 [] ∈ (T List)


Latex:


Latex:

1.  [T]  :  Type
\mvdash{}  \mforall{}bs2,as1,bs1:T  List.
        (as1  \mleq{}  []  {}\mRightarrow{}  bs1  \mleq{}  bs2  {}\mRightarrow{}  agree\_on\_common(T;[];bs2)  {}\mRightarrow{}  agree\_on\_common(T;as1;bs1))


By


Latex:
((Auto  THEN  Subst  as1  =  []  0)  THEN  Auto)




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