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Theorem f1dmOLD 6744
Description: Obsolete version of f1dm 6743 as of 29-May-2024. (Contributed by NM, 8-Mar-2014.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
f1dmOLD (𝐹:𝐴1-1𝐵 → dom 𝐹 = 𝐴)

Proof of Theorem f1dmOLD
StepHypRef Expression
1 f1fn 6740 . 2 (𝐹:𝐴1-1𝐵𝐹 Fn 𝐴)
2 fndm 6606 . 2 (𝐹 Fn 𝐴 → dom 𝐹 = 𝐴)
31, 2syl 17 1 (𝐹:𝐴1-1𝐵 → dom 𝐹 = 𝐴)
Colors of variables: wff setvar class
Syntax hints:  wi 4   = wceq 1542  dom cdm 5634   Fn wfn 6492  1-1wf1 6494
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 398  df-fn 6500  df-f 6501  df-f1 6502
This theorem is referenced by: (None)
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