Nuprl - Proof: quot rem exists n 1 1 1

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At: quot rem exists n 1 1 1

1. a :

2. b :

3. c :

c1:

. c1<c

(

. a = q

b+c1)

(

, r:

b. a = q

b+r)
5.

. a = q

b+c

, r:

b. a = q

b+r

By:	Decide (c<b)

Generated subgoals:

1 6. c<b
q:, r:b. a = qb+r
1 step

2 6. c<b
q:, r:b. a = qb+r
2 steps

About:

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1	6. c<b q:, r:b. a = qb+r	1 step
2	6. c<b q:, r:b. a = qb+r	2 steps