Theorems · Theorem · group theory
IsSquare.map
∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : MulOneClass α] [inst_1 : MulOneClass β] [inst_2 : FunLike F α β]
[MonoidHomClass F α β] {a : α} (f : F), IsSquare a → IsSquare (f a)- Defined in
- Mathlib.Algebra.Group.Even
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- map_mulproof · cited by 1,137
- MulOneClassstatement and proof · cited by 1,018
- MonoidHomClassstatement and proof · cited by 244
- IsSquarestatement and proof · cited by 132
Cited by3
Results whose statement or proof uses this declaration.
- ZMod.isSquare_neg_one_of_dvdproof · cited by 2
- isSquare_invproof · cited by 2
- ZMod.isSquare_neg_one_mulproof · cited by 1