Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > 19.21v | Unicode version |
Description: Special case of Theorem 19.21 of [Margaris] p. 90. Notational convention: We sometimes suffix with "v" the label of a theorem eliminating a hypothesis such as in 19.21 1562 via the use of distinct variable conditions combined with ax-17 1506. Conversely, we sometimes suffix with "f" the label of a theorem introducing such a hypothesis to eliminate the need for the distinct variable condition; e.g., euf 2004 derived from df-eu 2002. The "f" stands for "not free in" which is less restrictive than "does not occur in". (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
19.21v |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-17 1506 | . 2 | |
2 | 1 | 19.21h 1536 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wal 1329 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-4 1487 ax-17 1506 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: pm11.53 1867 cbval2 1893 sbhb 1913 2sb6 1959 sbcom2v 1960 2sb6rf 1965 2exsb 1984 moanim 2073 r3al 2477 ceqsralt 2713 rspc2gv 2801 euind 2871 reu2 2872 reuind 2889 unissb 3766 dfiin2g 3846 tfi 4496 asymref 4924 dff13 5669 mpo2eqb 5880 |
Copyright terms: Public domain | W3C validator |