(16steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

At: is member append lemma1 1 2

1. T: Type
2. eq: {T}
3. eq TT
4. x:T. eq(x,x)
5. x,y:T. eq(x,y) eq(y,x)
6. x,y,z:T. eq(x,y) eq(y,z) eq(x,z)
7. L: T List
8. x: T
9. u: T
10. v: T List
11. x(eq) v (M,N:T List, y:T. eq(x,y) & v = (M @ (y.N)))

if eq(x,u) true else x(eq) v fi (M,N:T List, y:T. eq(x,y) & u.v = (M @ (y.N)))

By: IfThenElseCases 0

Generated subgoals:

112. eq(x,u) = true
true (M,N:T List, y:T. eq(x,y) & u.v = (M @ (y.N)))
212. eq(x,u) = false
x(eq) v (M,N:T List, y:T. eq(x,y) & u.v = (M @ (y.N)))

About:
listconsboolbtrueifthenelseassertapply
functionuniverseequalmemberimpliesall
exists

(16steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc