Nuprl - Proof: wellfounded functionality wrt implies 1

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At: wellfounded functionality wrt implies 1

1. T1 : Type
2. T2 : Type
3. r1 : T1

Prop
4. r2 : T2

Prop
5. T1 = T2
6.

x,y:T1. r1(x,y)

r2(x,y)
7.

P:(T1

Prop). (

j:T1. (

k:T1. r1(k,j)

P(k))

P(j))

(

n:T1. P(n))
8. P : T2

Prop
9.

j:T2. (

k:T2. r2(k,j)

P(k))

P(j)

n:T2. P(n)

By:	SubstClause (n:T1. P(n)) 0

Generated subgoals:

1 (n:T2. P(n)) = (n:T1. P(n))
1 step

2 n:T1. P(n)
4 steps

About:

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