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Theorem sptruw 1671
Description: Version of sp 1747 when φ is true. Uses only Tarski's FOL axiom schemes. (Contributed by NM, 23-Apr-1017.)
Ref Expression
sptruw.1 φ
Ref Expression
sptruw (xφφ)

Proof of Theorem sptruw
StepHypRef Expression
1 sptruw.1 . 2 φ
21a1i 10 1 (xφφ)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1540
This theorem was proved from axioms:  ax-1 5  ax-mp 8
This theorem is referenced by: (None)
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