Theorems · Inductive type · general algebraic systems
IsOneApply
(F : Type u_1) → (α : outParam (Type u_2)) → (β : outParam (Type u_3)) → [FunLike F α β] → [One β] → [One F] → Prop
IsOneApply F α β states for all x : α, (1 : F) x = 1.
- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
Cited by32
Results whose statement or proof uses this declaration.
- FunLike.coeMonoidHomstatement and proof · cited by 6
- one_applystatement · cited by 3
- IsOneApply.one_applystatement and proof · cited by 1
- FunLike.coeMonoidHom_applystatement and proof · cited by 1
- FunLike.coeMonoidHom_injectivestatement and proof · cited by 1
- FunLike.coe_coeMonoidHomstatement and proof · cited by 1
- prod_applystatement and proof · cited by 1
- FunLike.coe_onestatement and proof · cited by 1
- FunLike.cancelCommMonoidstatement and proof · cited by 0
- FunLike.cancelMonoidstatement and proof · cited by 0
- IsOneApply.casesOnstatement and proof · cited by 0
- IsOneApply.recOnstatement and proof · cited by 0