transfiniteCompositionsOfShape_monotone

English

If e : J ≃o J' is an order isomorphism, then W.TransfiniteCompositionOfShape J f and W.TransfiniteCompositionOfShape J' f are equivalent for any f.

Русский

Если e : J ≃о J' является порядковым изоморфизмом, то для любого f равносильны свойства \nW.TransfiniteCompositionOfShape J f и W.TransfiniteCompositionOfShape J' f.

LaTeX

$$$W.TransfiniteCompositionOfShape J f \\;\\Leftrightarrow\\; W.TransfiniteCompositionOfShape J' f$ under an order isomorphism $e: J \\simeq_o J'$$$

Lean4

theorem transfiniteCompositionsOfShape_monotone : Monotone (transfiniteCompositionsOfShape (C := C) (J := J)) :=
  by
  rintro _ _ h _ _ _ ⟨t⟩
  exact ⟨t.ofLE h⟩

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