Theorems · Theorem · general algebraic systems
one_apply
∀ {F : Type u_1} {α : outParam (Type u_2)} {β : outParam (Type u_3)} {inst : FunLike F α β} {inst_1 : One β}
{inst_2 : One F} [self : IsOneApply F α β] (x : α), 1 x = 1Alias of IsOneApply.one_apply.
- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- IsOneApply
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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 · cited by 2,560
- IsOneApplystatement · cited by 12
- IsOneApply.one_applyproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- FunLike.coe_oneproof · cited by 1
- prod_applyproof · cited by 1
- FunLike.coe_one_iffproof · cited by 0