Theorems · Theorem · order theory
Set.sdiff_subset_sdiff_left
∀ {α : Type u_1} {s₁ s₂ t : Set α}, s₁ ⊆ s₂ → s₁ \ t ⊆ s₂ \ t- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- le_reflproof · cited by 2,061
- sdiff_le_sdiffproof · cited by 16
Cited by20
Results whose statement or proof uses this declaration.
- sSupIndep.monoproof · cited by 4
- Matroid.IsCircuit.contract_isCircuitproof · cited by 4
- Matroid.IsBasis.contract_eq_contract_deleteproof · cited by 3
- Matroid.IsCircuit.strong_multi_eliminationproof · cited by 2
- MeasureTheory.OuterMeasure.ofFunction_caratheodoryproof · cited by 2
- IsClosed.two_pow_mk_le_two_pow_mk_denseproof · cited by 2
- Matroid.IsCircuit.inter_isCocircuit_ne_singletonproof · cited by 2
- IsOpenMap.coborder_preimage_subsetproof · cited by 1
- Continuous.preimage_coborder_subsetproof · cited by 1
- Set.ite_monoproof · cited by 1
- MeasureTheory.AddContent.isCaratheodory_ofFunction_of_memproof · cited by 1
- IsCompact.binary_compact_coverproof · cited by 1