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Theorem fdmOLD 6732
Description: Obsolete version of fdm 6731 as of 29-May-2024. (Contributed by NM, 2-Aug-1994.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
fdmOLD (𝐹:𝐴𝐵 → dom 𝐹 = 𝐴)

Proof of Theorem fdmOLD
StepHypRef Expression
1 ffn 6722 . 2 (𝐹:𝐴𝐵𝐹 Fn 𝐴)
2 fndm 6657 . 2 (𝐹 Fn 𝐴 → dom 𝐹 = 𝐴)
31, 2syl 17 1 (𝐹:𝐴𝐵 → dom 𝐹 = 𝐴)
Colors of variables: wff setvar class
Syntax hints:  wi 4   = wceq 1534  dom cdm 5678   Fn wfn 6543  wf 6544
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 206  df-an 396  df-fn 6551  df-f 6552
This theorem is referenced by: (None)
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