Theorem elrnustOLD 24119

Description: Obsolete version of elfvunirn 6893 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 6893	1 ⊢ (𝑈 ∈ (UnifOn‘𝑋) → 𝑈 ∈ ∪ ran UnifOn)

Syntax hints:   → wi 4   ∈ wcel 2109  ∪ cuni 4874  ran crn 5642  ‘cfv 6514  UnifOncust 24094

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1795  ax-4 1809  ax-5 1910  ax-6 1967  ax-7 2008  ax-8 2111  ax-9 2119  ax-10 2142  ax-11 2158  ax-12 2178  ax-ext 2702  ax-sep 5254  ax-nul 5264  ax-pr 5390

This theorem depends on definitions:  df-bi 207  df-an 396  df-or 848  df-3an 1088  df-tru 1543  df-fal 1553  df-ex 1780  df-nf 1784  df-sb 2066  df-mo 2534  df-eu 2563  df-clab 2709  df-cleq 2722  df-clel 2804  df-ne 2927  df-ral 3046  df-rex 3055  df-rab 3409  df-v 3452  df-dif 3920  df-un 3922  df-ss 3934  df-nul 4300  df-if 4492  df-sn 4593  df-pr 4595  df-op 4599  df-uni 4875  df-br 5111  df-opab 5173  df-cnv 5649  df-dm 5651  df-rn 5652  df-iota 6467  df-fv 6522

This theorem is referenced by: (None)