Theorems · Theorem · general algebraic systems
IsZeroApply.zero_apply
∀ {F : Type u_1} {α : outParam (Type u_2)} {β : outParam (Type u_3)} {inst : FunLike F α β} {inst_1 : Zero β}
{inst_2 : Zero F} [self : IsZeroApply F α β] (x : α), 0 x = 0- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- IsZeroApply
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- IsZeroApplystatement and proof · cited by 72
Cited by1
Results whose statement or proof uses this declaration.
- zero_applyproof · cited by 251