Nuprl - Proof: no finite model a 1

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At: no finite model a 1

A:Type, R:(A

Prop).
1. (

A) & (Trans x,y:A. R(x;y)) & (

x:A.

y:A. R(x;y))
1. &

(

x:A. R(x;x))
1. & Finite(A)

False

By:	ExistHD Hyp:-1

Generated subgoal:

1 1. A : Type
2. R : AAProp
3. A
4. Trans x,y:A. R(x;y)
5. x:A. y:A. R(x;y)
6. (x:A. R(x;x))
7. Finite(A)
False
2 steps

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