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Definition df-fz 8645
Description: Define an operation that produces a finite set of sequential integers. Read " M ... N " as "the set of integers from  M to  N inclusive." See fzval 8646 for its value and additional comments. (Contributed by NM, 6-Sep-2005.)
Assertion
Ref Expression
df-fz  ...  m  ZZ ,  n  ZZ  |->  { k  ZZ  |  m  <_  k  k  <_  n }
Distinct variable group:    m, n, k

Detailed syntax breakdown of Definition df-fz
StepHypRef Expression
1 cfz 8644 . 2  ...
2 vm . . 3  setvar  m
3 vn . . 3  setvar  n
4 cz 8021 . . 3  ZZ
52cv 1241 . . . . . 6  m
6 vk . . . . . . 7  setvar  k
76cv 1241 . . . . . 6  k
8 cle 6858 . . . . . 6  <_
95, 7, 8wbr 3755 . . . . 5  m  <_  k
103cv 1241 . . . . . 6  n
117, 10, 8wbr 3755 . . . . 5  k  <_  n
129, 11wa 97 . . . 4  m  <_  k  k  <_  n
1312, 6, 4crab 2304 . . 3  { k  ZZ  |  m  <_  k  k  <_  n }
142, 3, 4, 4, 13cmpt2 5457 . 2  m  ZZ ,  n  ZZ  |->  { k  ZZ  |  m  <_  k  k  <_  n }
151, 14wceq 1242 1  ...  m  ZZ ,  n  ZZ  |->  { k  ZZ  |  m  <_  k  k  <_  n }
Colors of variables: wff set class
This definition is referenced by:  fzval  8646  fzf  8648  elfz2  8651
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