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Axiom ax-5 1232
Description: Axiom of Quantified Implication. Axiom C4 of [Monk2] p. 105. (Contributed by NM, 5-Aug-1993.)
Assertion
Ref Expression
ax-5 (x(φψ) → (xφxψ))

Detailed syntax breakdown of Axiom ax-5
StepHypRef Expression
1 wph . . . 4 wff φ
2 wps . . . 4 wff ψ
31, 2wi 4 . . 3 wff (φψ)
4 vx . . 3 set x
53, 4wal 1231 . 2 wff x(φψ)
61, 4wal 1231 . . 3 wff xφ
72, 4wal 1231 . . 3 wff xψ
86, 7wi 4 . 2 wff (xφxψ)
95, 8wi 4 1 wff (x(φψ) → (xφxψ))
Colors of variables: wff set class
This axiom is referenced by:  alimi  1241  alim  1243  equidqeOLD  1302  ax5o  1304  a5i  1317  ax4  1809
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