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At: is member equality strengthening lemma 1

1. T: Type
2. equiv: {T}
3. eq: {T=}
4. u: T
5. L: T List
6. u(equiv) L

v:T. equiv(u,v) & v(eq) L

By:
FwdThru Thm* eq:{T}, L:T List, x:T. x(eq) L (M,N:T List, y:T. eq(x,y) & L = (M @ (y.N))) [6]
THEN
Repeat (Analyze -1)


Generated subgoal:

17. M: T List
8. N: T List
9. y: T
10. equiv(u,y)
11. L = (M @ (y.N))
v:T. equiv(u,v) & v(eq) L

About:
listassertapplyuniverseandexists

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