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Axiom ax-alcom 331
Description: Quantifier commutation.
Assertion
Ref Expression
ax-alcom (∀xy𝜑 ⊸ ∀yx𝜑)

Detailed syntax breakdown of Axiom ax-alcom
StepHypRef Expression
1 wph . . . 4 wff 𝜑
2 vy . . . 4 var y
31, 2wal 318 . . 3 wffy𝜑
4 vx . . 3 var x
53, 4wal 318 . 2 wffxy𝜑
61, 4wal 318 . . 3 wffx𝜑
76, 2wal 318 . 2 wffyx𝜑
85, 7wli 61 1 wff (∀xy𝜑 ⊸ ∀yx𝜑)
Colors of variables: wff var nilad
This axiom is referenced by: (None)
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