Nuprl - Proof: delete fenum value is inj genW 1

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At: delete fenum value is inj genW 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 }

Inj({u:

| P(u) &

u = m }; {v:

| Q(v) &

v = k };

Inj(Replace value k by f(m) in f)

By:	Analyze THEN Analyze-3 THEN Analyze-2

Generated subgoal:

1 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)
a1 = a2 {u:| P(u) & u = m }
9 steps

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(11steps total) PrintForm Definitions Lemmas DiscreteMath Sections DiscrMathExt Doc