Intuitionistic Logic Explorer < Previous   Next > Nearby theorems Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-isom Unicode version

Definition df-isom 4911
 Description: Define the isomorphism predicate. We read this as " is an , isomorphism of onto ." Normally, and are ordering relations on and respectively. Definition 6.28 of [TakeutiZaring] p. 32, whose notation is the same as ours except that and are subscripts. (Contributed by NM, 4-Mar-1997.)
Assertion
Ref Expression
df-isom
Distinct variable groups:   ,,   ,,   ,,   ,,   ,,

Detailed syntax breakdown of Definition df-isom
StepHypRef Expression
1 cA . . 3
2 cB . . 3
3 cR . . 3
4 cS . . 3
5 cH . . 3
61, 2, 3, 4, 5wiso 4903 . 2
71, 2, 5wf1o 4901 . . 3
8 vx . . . . . . . 8
98cv 1242 . . . . . . 7
10 vy . . . . . . . 8
1110cv 1242 . . . . . . 7
129, 11, 3wbr 3764 . . . . . 6
139, 5cfv 4902 . . . . . . 7
1411, 5cfv 4902 . . . . . . 7
1513, 14, 4wbr 3764 . . . . . 6
1612, 15wb 98 . . . . 5
1716, 10, 1wral 2306 . . . 4
1817, 8, 1wral 2306 . . 3
197, 18wa 97 . 2
206, 19wb 98 1
 Colors of variables: wff set class This definition is referenced by:  isoeq1  5441  isoeq2  5442  isoeq3  5443  isoeq4  5444  isoeq5  5445  nfiso  5446  isof1o  5447  isorel  5448  isoid  5450  isocnv  5451  isocnv2  5452  isores2  5453  isores3  5455  isotr  5456  isoini2  5458  f1oiso  5465  frec2uzisod  9193
 Copyright terms: Public domain W3C validator