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Theorem iotabidv 4360
 Description: Formula-building deduction rule for iota. (Contributed by NM, 20-Aug-2011.)
Hypothesis
Ref Expression
iotabidv.1
Assertion
Ref Expression
iotabidv
Distinct variable group:   ,
Allowed substitution hints:   ()   ()

Proof of Theorem iotabidv
StepHypRef Expression
1 iotabidv.1 . . 3
21alrimiv 1631 . 2
3 iotabi 4348 . 2
42, 3syl 15 1
 Colors of variables: wff setvar class Syntax hints:   wi 4   wb 176  wal 1540   wceq 1642  cio 4337 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 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-rex 2620  df-uni 3892  df-iota 4339 This theorem is referenced by:  csbiotag  4371  ncfineq  4473  tfineq  4488  fveq1  5327  fveq2  5328  csbfv12g  5336  fvres  5342  tceq  6158
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