Nuprl - Proof: delete fenum value is inj genW 1 1 1

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At: delete fenum value is inj genW 1 1 1

1. P :

Prop
2. Q :

Prop
3. f : {u:

| P(u) }

{v:

| Q(v) }
4. Inj({u:

| P(u) }; {v:

| Q(v) }; f)
5. m : {u:

| P(u) }
6. k : {v:

| Q(v) }
7. (Replace value k by f(m) in f)

{u:

| P(u) &

u = m }

{v:

| Q(v) &

v = k }
8. a1 :

9. P(a1) &

a1 = m
10. a2 :

11. P(a2) &

a2 = m
12. (Replace value k by f(m) in f)(a1) = (Replace value k by f(m) in f)(a2)
13. f(a1) = k
14. f(a2) = k

a1 = a2

{u:

| P(u) &

u = m }

By:	Analyze THEN BackThru: Inj({u:\| P(u) }; {v:\| Q(v) }; f)

Generated subgoals:

None

About:

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