image_mulSingle_uIcc_left — Mathlib

English

The left variant: the image under Pi.mulSingle i of uIcc(a, 1) is the uIcc between Pi.mulSingle i a and 1.

Русский

Левый вариант: образ uIcc(a,1) под Pi.mulSingle i равно uIcc( Pi.mulSingle i a, 1 ).

LaTeX

$$$ \\mathrm{image}(\\Pi.mulSingle\, i)( \\mathrm{uIcc}(a,1) ) = \\mathrm{uIcc}( \\Pi.mulSingle i\, a, 1 ) $$$

Lean4

@[to_additive]
theorem image_mulSingle_uIcc_left (i : ι) (a : α i) : Pi.mulSingle i '' uIcc a 1 = uIcc (Pi.mulSingle i a) 1 :=
  image_update_uIcc_left _ _ _

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