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Theorem alimdv 1621
Description: Deduction from Theorem 19.20 of [Margaris] p. 90. (Contributed by NM, 3-Apr-1994.)
Hypothesis
Ref Expression
alimdv.1 (φ → (ψχ))
Assertion
Ref Expression
alimdv (φ → (xψxχ))
Distinct variable group:   φ,x
Allowed substitution hints:   ψ(x)   χ(x)

Proof of Theorem alimdv
StepHypRef Expression
1 ax-17 1616 . 2 (φxφ)
2 alimdv.1 . 2 (φ → (ψχ))
31, 2alimdh 1563 1 (φ → (xψxχ))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1540
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1546  ax-5 1557  ax-17 1616
This theorem is referenced by:  2alimdv  1623  ax16i  2046  ax16ALT2  2048  morimv  2252  ralimdv2  2694  mo2icl  3015  sstr2  3279  reuss2  3535  ssuni  3913  iotaval  4350  spfinsfincl  4539  eqfnfv  5392  dff3  5420  clos1conn  5879
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