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Axiom ax-ial 1365
Description: x is not free in xφ. Axiom 7 of 10 for intuitionistic logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-ial (xφxxφ)

Detailed syntax breakdown of Axiom ax-ial
StepHypRef Expression
1 wph . . 3 wff φ
2 vx . . 3 set x
31, 2wal 1271 . 2 wff xφ
43, 2wal 1271 . 2 wff xxφ
53, 4wi 4 1 wff (xφxxφ)
Colors of variables: wff set class
This axiom is referenced by:  hba1  1371  ax6b  1468  exdistrf  1599  sbcof2  1609  hbs1  1727  sbcomxyyz  1760  sbalyz  1789
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