Theorem elrnustOLD 24150

Description: Obsolete version of elfvunirn 6905 as of 12-Jan-2025. (Contributed by Thierry Arnoux, 16-Nov-2017.) (Proof modification is discouraged.) (New usage is discouraged.)

Assertion

Ref	Expression
elrnustOLD	⊢ (𝑈 ∈ (UnifOn‘𝑋) → 𝑈 ∈ ∪ ran UnifOn)

Proof of Theorem elrnustOLD

Step	Hyp	Ref	Expression
1		elfvunirn 6905	1 ⊢ (𝑈 ∈ (UnifOn‘𝑋) → 𝑈 ∈ ∪ ran UnifOn)

Syntax hints:   → wi 4   ∈ wcel 2107  ∪ cuni 4881  ran crn 5653  ‘cfv 6528  UnifOncust 24125

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1794  ax-4 1808  ax-5 1909  ax-6 1966  ax-7 2006  ax-8 2109  ax-9 2117  ax-10 2140  ax-11 2156  ax-12 2176  ax-ext 2706  ax-sep 5264  ax-nul 5274  ax-pr 5400

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 848  df-3an 1088  df-tru 1542  df-fal 1552  df-ex 1779  df-nf 1783  df-sb 2064  df-mo 2538  df-eu 2567  df-clab 2713  df-cleq 2726  df-clel 2808  df-ne 2932  df-ral 3051  df-rex 3060  df-rab 3414  df-v 3459  df-dif 3927  df-un 3929  df-ss 3941  df-nul 4307  df-if 4499  df-sn 4600  df-pr 4602  df-op 4606  df-uni 4882  df-br 5118  df-opab 5180  df-cnv 5660  df-dm 5662  df-rn 5663  df-iota 6481  df-fv 6536

This theorem is referenced by: (None)