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Theorem nfiota 4343
 Description: Bound-variable hypothesis builder for the ℩ class. (Contributed by NM, 23-Aug-2011.)
Hypothesis
Ref Expression
nfiota.1 xφ
Assertion
Ref Expression
nfiota x(℩yφ)

Proof of Theorem nfiota
StepHypRef Expression
1 nftru 1554 . . 3 y
2 nfiota.1 . . . 4 xφ
32a1i 10 . . 3 ( ⊤ → Ⅎxφ)
41, 3nfiotad 4342 . 2 ( ⊤ → x(℩yφ))
54trud 1323 1 x(℩yφ)
 Colors of variables: wff setvar class Syntax hints:   ⊤ wtru 1316  Ⅎwnf 1544  Ⅎwnfc 2476  ℩cio 4337 This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-3 7  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616  ax-9 1654  ax-8 1675  ax-6 1729  ax-7 1734  ax-11 1746  ax-12 1925  ax-ext 2334 This theorem depends on definitions:  df-bi 177  df-or 359  df-an 360  df-tru 1319  df-ex 1542  df-nf 1545  df-sb 1649  df-clab 2340  df-cleq 2346  df-clel 2349  df-nfc 2478  df-ral 2619  df-rex 2620  df-sn 3741  df-uni 3892  df-iota 4339 This theorem is referenced by:  csbiotag  4371  nffv  5334
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