Theorems · Theorem
DFunLike.ne_iff
∀ {F : Sort u_1} {α : Sort u_2} {β : α → Sort u_3} [i : DFunLike F α β] {f g : F}, f ≠ g ↔ ∃ a, f a ≠ g a- Defined in
- Mathlib.Data.FunLike.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DFunLike
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
- DFunLikestatement and proof · cited by 576
- Iff.notproof · cited by 489
- DFunLike.ext_iffproof · cited by 102
Cited by18
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.ext_of_charFunDualproof · cited by 8
- MeasureTheory.Measure.ext_of_charFunproof · cited by 7
- exists_nonarchimedean_pow_mul_seminorm_of_finiteDimensionalproof · cited by 5
- Finsupp.ne_iffproof · cited by 4
- Real.probChar_ne_oneproof · cited by 4
- AddChar.ne_one_iffproof · cited by 3
- MeasureTheory.Measure.ext_of_complexMGF_eqproof · cited by 1
- BoundedContinuousFunction.ext_of_char_eqproof · cited by 1
- NumberField.FinitePlace.mk_eq_iffproof · cited by 1
- MeasureTheory.ProbabilityMeasure.tendsto_of_tendsto_charFunproof · cited by 1
- CuspForm.exists_smul_discriminant_of_weight_eq_twelveproof · cited by 1
- DFunLike.exists_neproof · cited by 1