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Definition df-seqom 6697
 Description: Index-aware recursive definitions over . A mashup of df-rdg 6660 and df-seq 11316, this allows for recursive definitions that use an index in the recursion in cases where Infinity is not admitted. (Contributed by Stefan O'Rear, 1-Nov-2014.)
Assertion
Ref Expression
df-seqom seq𝜔
Distinct variable groups:   ,,   ,,

Detailed syntax breakdown of Definition df-seqom
StepHypRef Expression
1 cF . . 3
2 cI . . 3
31, 2cseqom 6696 . 2 seq𝜔
4 vi . . . . 5
5 vv . . . . 5
6 com 4837 . . . . 5
7 cvv 2948 . . . . 5
84cv 1651 . . . . . . 7
98csuc 4575 . . . . . 6
105cv 1651 . . . . . . 7
118, 10, 1co 6073 . . . . . 6
129, 11cop 3809 . . . . 5
134, 5, 6, 7, 12cmpt2 6075 . . . 4
14 c0 3620 . . . . 5
15 cid 4485 . . . . . 6
162, 15cfv 5446 . . . . 5
1714, 16cop 3809 . . . 4
1813, 17crdg 6659 . . 3
1918, 6cima 4873 . 2
203, 19wceq 1652 1 seq𝜔
 Colors of variables: wff set class This definition is referenced by:  seqomeq12  6703  fnseqom  6704  seqom0g  6705  seqomsuc  6706
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