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At: preserved by monotone

  T:Type, P:(TProp), R1,R2:(TTProp).
  (x,y:T. (x R1 y (x R2 y))  R2 preserves P  R1 preserves P


By: Unfold `preserved_by` 0 THEN Reduce 0


Generated subgoal:

1 1. T : Type
2. P : TProp
3. R1 : TTProp
4. R2 : TTProp
5. x,y:T. (x R1 y (x R2 y)
6. x,y:TP(x (x R2 y P(y)
7. x : T
8. y : T
9. P(x)
10. x R1 y
  P(y)

1 step

About:
applyfunctionuniversepropimpliesall
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(2steps total) PrintForm Definitions mb nat Sections MarkB generic Doc