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Axiom ax-i5r 1334
Description: The converse of ax-5o 1328. Axiom 8 of 10 for intuitionistic logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-i5r ((xφxψ) → x(xφψ))

Detailed syntax breakdown of Axiom ax-i5r
StepHypRef Expression
1 wph . . . 4 wff φ
2 vx . . . 4 set x
31, 2wal 1253 . . 3 wff xφ
4 wps . . . 4 wff ψ
54, 2wal 1253 . . 3 wff xψ
63, 5wi 4 . 2 wff (xφxψ)
73, 4wi 4 . . 3 wff (xφψ)
87, 2wal 1253 . 2 wff x(xφψ)
96, 8wi 4 1 wff ((xφxψ) → x(xφψ))
Colors of variables: wff set class
This axiom is referenced by:  hbim  1342  hbimd  1368
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