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Definition df-shs 21833
Description: Define subspace sum in  SH. See shsval 21837, shsval2i 21912, and shsval3i 21913 for its value. (Contributed by NM, 16-Oct-1999.) (New usage is discouraged.)
Assertion
Ref Expression
df-shs  |-  +H  =  ( x  e.  SH ,  y  e.  SH  |->  (  +h  " ( x  X.  y ) ) )
Distinct variable group:    x, y

Detailed syntax breakdown of Definition df-shs
StepHypRef Expression
1 cph 21457 . 2  class  +H
2 vx . . 3  set  x
3 vy . . 3  set  y
4 csh 21454 . . 3  class  SH
5 cva 21446 . . . 4  class  +h
62cv 1618 . . . . 5  class  x
73cv 1618 . . . . 5  class  y
86, 7cxp 4645 . . . 4  class  ( x  X.  y )
95, 8cima 4650 . . 3  class  (  +h  " ( x  X.  y ) )
102, 3, 4, 4, 9cmpt2 5780 . 2  class  ( x  e.  SH ,  y  e.  SH  |->  (  +h  " ( x  X.  y ) ) )
111, 10wceq 1619 1  wff  +H  =  ( x  e.  SH ,  y  e.  SH  |->  (  +h  " ( x  X.  y ) ) )
Colors of variables: wff set class
This definition is referenced by:  shsval  21837
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