Zulip Chat Archive

Stream: Is there code for X?

Topic: Swapping arguments in bumper forall.


Wrenna Robson (Oct 13 2025 at 10:39):

Do we have

theorem forall₂_comm
    {ι₁ ι₂ : Sort*} {κ₁ : ι₁  Sort*} {κ₂ : ι₂  Sort*} {p :  i₁, κ₁ i₁   i₂, κ₂ i₂  Prop} :
    ( i₁ j₁ i₂ j₂, p i₁ j₁ i₂ j₂) 
     i₁ i₂, (j₁ : κ₁ i₁)  (j₂ : κ₂ i₂)  p i₁ j₁ i₂ j₂ := by simp_rw [forall_comm (α := ι₂)]

It is sort of a combination of forall₂_swap and forall_comm (hence the name I have given it here) but it seems like something that will so naturally come up that I can't quite believe it hasn't.


Last updated: Dec 20 2025 at 21:32 UTC