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Theorem axc5c4c711toc5 36605
 Description: Re-derivation of sp 1909 from axc5c4c711 36604. Note that ax6 2056 is used for the re-derivation. (Contributed by Andrew Salmon, 14-Jul-2011.) Revised to use ax6v 1795 instead of ax6 2056, so that this re-derivation requires only ax6v 1795 and propositional calculus. (Revised by BJ, 14-Sep-2019.) (Proof modification is discouraged.) (New usage is discouraged.)
Assertion
Ref Expression
axc5c4c711toc5

Proof of Theorem axc5c4c711toc5
Dummy variable is distinct from all other variables.
StepHypRef Expression
1 ax6v 1795 . . 3
2 pm2.21 111 . . . 4
3 ax-1 6 . . . 4
4 axc5c4c711 36604 . . . 4
52, 3, 43syl 18 . . 3
61, 5mtoi 181 . 2
76con4i 133 1
 Colors of variables: wff setvar class Syntax hints:   wn 3   wi 4  wal 1435   wceq 1437 This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8  ax-gen 1665  ax-4 1678  ax-5 1748  ax-6 1794  ax-7 1838  ax-10 1886  ax-11 1891  ax-12 1904 This theorem depends on definitions:  df-bi 188  df-ex 1660 This theorem is referenced by: (None)
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