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Theorem ch2var 9222
Description: Implicit substitution of for and  t for into a theorem. (Contributed by BJ, 17-Oct-2019.)
Hypotheses
Ref Expression
ch2var.nfx  F/
ch2var.nfz  F/
ch2var.maj  t
ch2var.min
Assertion
Ref Expression
ch2var
Distinct variable groups:   ,   , t
Allowed substitution hints:   (,,, t)   (,,, t)

Proof of Theorem ch2var
StepHypRef Expression
1 ch2var.nfx . . 3  F/
2 ch2var.nfz . . 3  F/
3 ch2var.maj . . . 4  t
43biimpd 132 . . 3  t
51, 2, 42spim 9221 . 2
6 ch2var.min . . 3
76ax-gen 1335 . 2
85, 7mpg 1337 1
Colors of variables: wff set class
Syntax hints:   wi 4   wa 97   wb 98  wal 1240   F/wnf 1346
This theorem was proved from axioms:  ax-1 5  ax-2 6  ax-mp 7  ax-ia1 99  ax-ia2 100  ax-ia3 101  ax-5 1333  ax-gen 1335  ax-ie1 1379  ax-ie2 1380  ax-4 1397  ax-17 1416  ax-i9 1420  ax-ial 1424
This theorem depends on definitions:  df-bi 110  df-nf 1347
This theorem is referenced by:  ch2varv  9223
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