Mathbox for Alan Sare |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > Mathboxes > 19.41rg | Structured version Visualization version Unicode version |
Description: Closed form of right-to-left implication of 19.41 2103, Theorem 19.41 of [Margaris] p. 90. Derived from 19.41rgVD 39138. (Contributed by Alan Sare, 8-Feb-2014.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
19.41rg |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 2053 | . . . 4 | |
2 | pm3.21 464 | . . . . . . 7 | |
3 | 2 | a1i 11 | . . . . . 6 |
4 | 3 | al2imi 1743 | . . . . 5 |
5 | exim 1761 | . . . . 5 | |
6 | 4, 5 | syl6 35 | . . . 4 |
7 | 1, 6 | syld 47 | . . 3 |
8 | 7 | com23 86 | . 2 |
9 | 8 | impd 447 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 wal 1481 wex 1704 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 |
This theorem is referenced by: ax6e2nd 38774 ax6e2ndVD 39144 ax6e2ndALT 39166 |
Copyright terms: Public domain | W3C validator |