HomeHome Metamath Proof Explorer < Previous   Next >
Related theorems
Unicode version

Definition df-f1o 4018
Description: Define a one-to-one onto function. For equivalent definitions see dff1o2 4634, dff1o3 4635, dff1o4 4637, and dff1o5 4638. Compare Definition 6.15(6) of [TakeutiZaring] p. 27. We use their notation ("1-1" above the arrow and "onto" below the arrow).
Assertion
Ref Expression
df-f1o

Detailed syntax breakdown of Definition df-f1o
StepHypRef Expression
1 cA . . 3
2 cB . . 3
3 cF . . 3
41, 2, 3wf1o 4002 . 2
51, 2, 3wf1 4000 . . 3
61, 2, 3wfo 4001 . . 3
75, 6wa 360 . 2
84, 7wb 174 1
Colors of variables: wff set class
This definition is referenced by:  f1oeq1 4623  f1oeq2 4624  f1oeq3 4625  hbf1o 4627  f1of1 4628  dff1o2 4634  dff1o5 4638  f1oco 4652  fo00 4662  dff1o6 4889  f1oweALT 4923  smoiso2 5339  f1finf1o 5932  unfilem2 5957  fofinf1o 5974  alephiso 6359  cnref1o 8160  icoshftf1oii 8377  1arith 9885  reeff1o 12666  recosf1o 12727  efif1olem3 12734  unopf1o 13982  ghomf1olem 14598  dff1o6f 15737  trnij 16356  soisoi 18007
Copyright terms: Public domain