Theorems · Theorem · general algebraic systems
FunLike.coe_neg
∀ {F : Type u_3} {α : Type u_5} {β : Type u_6} [inst : FunLike F α β] [inst_1 : Neg F] [inst_2 : Neg β]
[IsNegApply F α β] (f : F), ⇑(-f) = -⇑f- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext, Quot.sound
- Assumes
- FunLikeNegNegIsNegApply
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
- neg_applyproof · cited by 96
- IsNegApplystatement and proof · cited by 21
Cited by13
Results whose statement or proof uses this declaration.
- ConvexOn.exists_affine_le_of_ltproof · cited by 4
- hasFPowerSeriesOnBall_inverse_one_addproof · cited by 2
- Complex.one_div_one_sub_cpow_hasFPowerSeriesOnBall_zeroproof · cited by 2
- MeasureTheory.VectorMeasure.integral_neg_cbmproof · cited by 1
- MeasureTheory.VectorMeasure.integral_neg_vectorMeasureproof · cited by 1
- ContDiffMapSupportedIn.coe_negproof · cited by 0
- ContinuousLinearMap.coe_neg'proof · cited by 0
- QuadraticMap.coeFn_negproof · cited by 0
- SlashInvariantForm.coe_negproof · cited by 0
- CuspForm.coe_negproof · cited by 0
- MeasureTheory.VectorMeasure.coe_negproof · cited by 0
- ModularForm.coe_negproof · cited by 0