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Mirrors > Home > ILE Home > Th. List > ax-10o | Unicode version |
Description: Axiom ax-10o 1645 ("o" for "old") was the
original version of ax-10 1437,
before it was discovered (in May 2008) that the shorter ax-10 1437 could
replace it. It appears as Axiom scheme C11' in [Megill] p. 448 (p. 16 of
the preprint).
This axiom is redundant, as shown by theorem ax10o 1644. Normally, ax10o 1644 should be used rather than ax-10o 1645, except by theorems specifically studying the latter's properties. (Contributed by NM, 5-Aug-1993.) (New usage is discouraged.) |
Ref | Expression |
---|---|
ax-10o |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | vx | . . . 4 | |
2 | vy | . . . 4 | |
3 | 1, 2 | weq 1433 | . . 3 |
4 | 3, 1 | wal 1283 | . 2 |
5 | wph | . . . 4 | |
6 | 5, 1 | wal 1283 | . . 3 |
7 | 5, 2 | wal 1283 | . . 3 |
8 | 6, 7 | wi 4 | . 2 |
9 | 4, 8 | wi 4 | 1 |
Colors of variables: wff set class |
This axiom is referenced by: ax10 1646 |
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