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

Theorem fndmu 4943
Description: A function has a unique domain. (Contributed by NM, 11-Aug-1994.)
Assertion
Ref Expression
fndmu  F  Fn  F  Fn

Proof of Theorem fndmu
StepHypRef Expression
1 fndm 4941 . 2  F  Fn  dom  F
2 fndm 4941 . 2  F  Fn  dom  F
31, 2sylan9req 2090 1  F  Fn  F  Fn
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wceq 1242   dom cdm 4288    Fn wfn 4840
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-4 1397  ax-17 1416  ax-ext 2019
This theorem depends on definitions:  df-bi 110  df-cleq 2030  df-fn 4848
This theorem is referenced by:  fodmrnu  5057  tfrlemisucaccv  5880  0fz1  8679
  Copyright terms: Public domain W3C validator