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Theorem o-comi 171
Description: Inference form of o-com 170 (Contributed by la korvo, 16-Jul-2023.)
Hypothesis
Ref Expression
o-comi.0ko'a .o ko'e bo'a
Assertion
Ref Expression
o-comiko'e .o ko'a bo'a

Proof of Theorem o-comi
StepHypRef Expression
1 o-comi.0 . 2ko'a .o ko'e bo'a
2 o-com 170 . 2go ko'a .o ko'e bo'a gi ko'e .o ko'a bo'a
31, 2bi 79 1ko'e .o ko'a bo'a
Colors of variables: sumti selbri bridi
Syntax hints:  btb 3  .o sjo 166
This theorem was proved from axioms:  ax-mp 10  ax-k 11  ax-s 15  ax-ge-le 43  ax-ge-re 44  ax-ge-in 45  ax-go-trans 77
This theorem depends on definitions:  df-go 61  df-o 167
This theorem is referenced by: (None)
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