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At:
strong-subtype transitivity A,B,C:Type.
strong-subtype(A;B) strong-subtype(B;C) strong-subtype(A;C)
By:
Auto THEN All (Unfold `strong-subtype`) THEN ExRepD THEN Analyze 0
1. A : Type
2. B : Type
3. C : Type
4. Ar B 5. {b:B| a:A. b = aB } r A 6. a1,a2:A. a1 = a2Ba1 = a2 7. Br C 8. {b:C| a:B. b = aC } r B 9. a1,a2:B. a1 = a2Ca1 = a2 Ar C
1. A : Type
2. B : Type
3. C : Type
4. Ar B 5. {b:B| a:A. b = aB } r A 6. a1,a2:A. a1 = a2Ba1 = a2 7. Br C 8. {b:C| a:B. b = aC } r B 9. a1,a2:B. a1 = a2Ca1 = a2 10. Ar C ({b:C| a:A. b = aC } r A) & (a1,a2:A. a1 = a2Ca1 = a2)
11 steps
About:
IF YOU CAN SEE THIS go to http://www.cs.cornell.edu/Info/People/sfa/Nuprl/Shared/Xindentation_hack_doc.html