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Mirrors > Home > MPE Home > Th. List > ax-4 | Unicode version |
Description: Axiom of Quantified Implication. Axiom C4 of [Monk2] p. 105 and Theorem 19.20 of [Margaris] p. 90. It is restated as alim 1632 for labelling consistency. It should be used only by alim 1632. (Contributed by NM, 21-May-2008.) (New usage is discouraged.) |
Ref | Expression |
---|---|
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 1393 | . 2 |
6 | 1, 4 | wal 1393 | . . 3 |
7 | 2, 4 | wal 1393 | . . 3 |
8 | 6, 7 | wi 4 | . 2 |
9 | 5, 8 | wi 4 | 1 |
Colors of variables: wff setvar class |
This axiom is referenced by: alim 1632 |
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