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Theorem alrimdv 1633
Description: Deduction from Theorem 19.21 of [Margaris] p. 90. (Contributed by NM, 10-Feb-1997.)
Hypothesis
Ref Expression
alrimdv.1 (φ → (ψχ))
Assertion
Ref Expression
alrimdv (φ → (ψxχ))
Distinct variable groups:   φ,x   ψ,x
Allowed substitution hint:   χ(x)

Proof of Theorem alrimdv
StepHypRef Expression
1 ax-17 1616 . 2 (φxφ)
2 ax-17 1616 . 2 (ψxψ)
3 alrimdv.1 . 2 (φ → (ψχ))
41, 2, 3alrimdh 1587 1 (φ → (ψxχ))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1540
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 8  ax-gen 1546  ax-5 1557  ax-17 1616
This theorem is referenced by:  funcnvuni  5161  eqfnfv  5392
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