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Theorem sptruw 1801
Description: Version of sp 2175 when 𝜑 is true. Instance of a1i 11. Uses only Tarski's FOL axiom schemes. (Contributed by NM, 23-Apr-2017.)
Ref Expression
sptruw.1 𝜑
Ref Expression
sptruw (∀𝑥𝜑𝜑)

Proof of Theorem sptruw
StepHypRef Expression
1 sptruw.1 . 2 𝜑
21a1i 11 1 (∀𝑥𝜑𝜑)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wal 1529
This theorem was proved from axioms:  ax-mp 5  ax-1 6
This theorem is referenced by: (None)
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