Skip to content
New issue

Have a question about this project? Sign up for a free GitHub account to open an issue and contact its maintainers and the community.

Sign up for GitHub

By clicking “Sign up for GitHub”, you agree to our terms of service and privacy statement. We’ll occasionally send you account related emails.

Already on GitHub? Sign in to your account

Jump to bottom

[Merged by Bors] - fix(GroupTheory/GroupAction/Basic): correct name from to_additive #6920

Closed
wants to merge 1 commit into from
Closed

[Merged by Bors] - fix(GroupTheory/GroupAction/Basic): correct name from to_additive #6920

Changes from all commits
Commits
Show all changes
1 commit
Select commit
File filter

Filter by extension

Filter by extension
Conversations
Failed to load comments.
Jump to
Jump to file
Failed to load files.
Diff view
Diff view
4 changes: 2 additions & 2 deletions Mathlib/GroupTheory/GroupAction/Basic.lean
View file
Open in desktop
Original file line number Diff line number Diff line change
Expand Up @@ -174,7 +174,7 @@ theorem orbit_eq_univ [IsPretransitive M α] (a : α) : orbit M a = Set.univ :=

variable {M}

@[to_additive]
@[to_additive mem_fixedPoints_iff_card_orbit_eq_one]
theorem mem_fixedPoints_iff_card_orbit_eq_one {a : α} [Fintype (orbit M a)] :
a ∈ fixedPoints M α ↔ Fintype.card (orbit M a) = 1 := by
rw [Fintype.card_eq_one_iff, mem_fixedPoints]
Expand All @@ -186,7 +186,7 @@ theorem mem_fixedPoints_iff_card_orbit_eq_one {a : α} [Fintype (orbit M a)] :
x • a = z := Subtype.mk.inj (hz₁ ⟨x • a, mem_orbit _ _⟩)
_ = a := (Subtype.mk.inj (hz₁ ⟨a, mem_orbit_self _⟩)).symm
#align mul_action.mem_fixed_points_iff_card_orbit_eq_one MulAction.mem_fixedPoints_iff_card_orbit_eq_one
#align add_action.mem_fixed_points_iff_card_orbit_eq_zero AddAction.mem_fixedPoints_iff_card_orbit_eq_zero
#align add_action.mem_fixed_points_iff_card_orbit_eq_zero AddAction.mem_fixedPoints_iff_card_orbit_eq_one

end MulAction

Expand Down