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Axiom ax-ie2 1359
Description: Define existential quantification. means "there exists at least one set such that is true." Axiom 10 of 10 for intuitionistic logic. (Contributed by Mario Carneiro, 31-Jan-2015.)
Assertion
Ref Expression
ax-ie2

Detailed syntax breakdown of Axiom ax-ie2
StepHypRef Expression
1 wps . . . 4
2 vx . . . . 5  setvar
31, 2wal 1224 . . . 4
41, 3wi 4 . . 3
54, 2wal 1224 . 2
6 wph . . . . 5
76, 1wi 4 . . . 4
87, 2wal 1224 . . 3
96, 2wex 1357 . . . 4
109, 1wi 4 . . 3
118, 10wb 98 . 2
125, 11wi 4 1
Colors of variables: wff set class
This axiom is referenced by:  19.23ht  1362  bj-ex  8359
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