Theorems · Theorem · general algebraic systems
FunLike.coe_add
∀ {F : Type u_3} {α : Type u_5} {β : Type u_6} [inst : FunLike F α β] [inst_1 : Add F] [inst_2 : Add β]
[IsAddApply F α β] (f g : F), ⇑(f + g) = ⇑f + ⇑g- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 30 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext, Quot.sound
- Assumes
- FunLikeAddAddIsAddApply
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 and proof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- add_applyproof · cited by 154
- IsAddApplystatement and proof · cited by 75
Cited by31
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.rnDeriv_add_singularPartproof · cited by 7
- FunLike.coeAddHomproof · cited by 4
- ProbabilityTheory.Kernel.withDensity_one_sub_rnDerivAuxproof · cited by 2
- MeasureTheory.SimpleFunc.setToSimpleFunc_add_left'proof · cited by 2
- ProbabilityTheory.Kernel.withDensity_rnDeriv_eq_zero_iff_measure_eq_zeroproof · cited by 1
- ProbabilityTheory.Kernel.compProd_add_rightproof · cited by 1
- MeasureTheory.SimpleFunc.setToSimpleFunc_add_leftproof · cited by 1
- MeasureTheory.weightedSMul_add_measureproof · cited by 1
- MeasureTheory.condExpInd_disjoint_unionproof · cited by 1
- FunLike.isCancelAddproof · cited by 0
- AddGroupNorm.coe_addproof · cited by 0