Theorems · Theorem · group theory

Set.image_neg_of_apply_neg_eq_neg

∀ {α : Type u_2} {β : Type u_3} [inst : InvolutiveNeg α] {s : Set α} [inst_1 : InvolutiveNeg β] {f g : α → β},
  (∀ x ∈ s, f (-x) = -g x) → f '' (-s) = -g '' s

Defined in: Mathlib.Algebra.Group.Pointwise.Set.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 11 from the axioms · uses propext, Quot.sound
Assumes: InvolutiveNeg InvolutiveNeg

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Setstatement and proof · cited by 53,352
Set.imagestatement and proof · cited by 5,609
Set.negstatement · cited by 168
InvolutiveNegstatement and proof · cited by 151
Set.image_imageproof · cited by 140
Set.image_neg_eq_negproof · cited by 52
Set.image_neg_of_apply_neg_eqproof · cited by 1

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