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Axiom ax-7d 31141
Description: Distinct variable version of ax-11 2034. (Contributed by Mario Carneiro, 14-Aug-2015.)
Assertion
Ref Expression
ax-7d  |-  ( A. x A. y ph  ->  A. y A. x ph )
Distinct variable group:    x, y
Allowed substitution hints:    ph( x, y)

Detailed syntax breakdown of Axiom ax-7d
StepHypRef Expression
1 wph . . . 4  wff  ph
2 vy . . . 4  setvar  y
31, 2wal 1481 . . 3  wff  A. y ph
4 vx . . 3  setvar  x
53, 4wal 1481 . 2  wff  A. x A. y ph
61, 4wal 1481 . . 3  wff  A. x ph
76, 2wal 1481 . 2  wff  A. y A. x ph
85, 7wi 4 1  wff  ( A. x A. y ph  ->  A. y A. x ph )
Colors of variables: wff setvar class
This axiom is referenced by: (None)
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