Theorems · Theorem · order theory
sdiff_le_sdiff
∀ {α : Type u_2} [inst : GeneralizedCoheytingAlgebra α] {a b c d : α}, d ≤ c → b ≤ a → d \ a ≤ c \ b- Defined in
- Mathlib.Order.Heyting.Basic
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- GeneralizedCoheytingAlgebra
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.
- LE.le.trans'proof · cited by 140
- GeneralizedCoheytingAlgebrastatement and proof · cited by 95
- sdiff_le_sdiff_rightproof · cited by 11
- sdiff_le_sdiff_leftproof · cited by 6
Cited by16
Results whose statement or proof uses this declaration.
- Set.sdiff_subset_sdiff_leftproof · cited by 20
- Set.sdiff_subset_sdiff_rightproof · cited by 12
- Set.sdiff_subset_sdiffproof · cited by 11
- Filter.codiscreteWithin_monoproof · cited by 9
- MeasureTheory.measure_inter_add_sdiff₀proof · cited by 6
- MeasureTheory.eventually_nhds_one_measure_smul_sdiff_ltproof · cited by 3
- MeasureTheory.eventually_nhds_zero_measure_vadd_sdiff_ltproof · cited by 2
- MeasureTheory.Measure.measure_inter_eq_of_measure_eqproof · cited by 2
- Besicovitch.exists_disjoint_closedBall_covering_ae_of_finiteMeasure_auxproof · cited by 1
- StieltjesFunction.length_monoproof · cited by 1
- MeasureTheory.OuterMeasure.isCaratheodory_iUnion_of_disjointproof · cited by 1
- StieltjesFunction.measurableSet_Ioiproof · cited by 1