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Theorem spimfw 1737
Description: Specialization, with additional weakening (compared to sp 1859) to allow bundling of and . Uses only Tarski's FOL axiom schemes. (Contributed by NM, 23-Apr-2017.) (Proof shortened by Wolf Lammen, 7-Aug-2017.)
Hypotheses
Ref Expression
spimfw.1
spimfw.2
Assertion
Ref Expression
spimfw

Proof of Theorem spimfw
StepHypRef Expression
1 spimfw.2 . . 3
21speimfw 1735 . 2
3 df-ex 1613 . . 3
4 spimfw.1 . . . 4
54con1i 129 . . 3
63, 5sylbi 195 . 2
72, 6syl6 33 1
Colors of variables: wff setvar class
Syntax hints:  -.wn 3  ->wi 4  A.wal 1393  E.wex 1612
This theorem is referenced by:  spimw  1783
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1618  ax-4 1631
This theorem depends on definitions:  df-bi 185  df-ex 1613
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