ax-4 - Metamath Proof Explorer

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Axiom ax-4 1581

Description: Axiom of Quantified Implication. Axiom C4 of [Monk2] p. 105. (Contributed by NM, 5-Aug-1993.)

**Assertion**
Ref	Expression
ax-4

**Detailed syntax breakdown of Axiom ax-4**
Step	Hyp	Ref	Expression
1		wph	. . . 4
2		wps	. . . 4
3	1, 2	wi 4	. . 3
4		vx	. . 3
5	3, 4	wal 1564	. 2
6	1, 4	wal 1564	. . 3
7	2, 4	wal 1564	. . 3
8	6, 7	wi 4	. 2
9	5, 8	wi 4	1

Colors of variables: wff set class

This axiom is referenced by: alim 1582 alimi 1583 spfw 1718 spwOLD 1720 axc4 1771 19.21t 1819 a16gOLD 2055 3ax4 30089 3ax4VD 30444 hbalgVD 30487 stdpc5t 30927 a16gNEW11 31098 ax11w7tAUX11 31207