Theorems · Theorem · order theory
Finset.inter_subset_inter
∀ {α : Type u_1} [inst : DecidableEq α] {x y s t : Finset α}, x ⊆ y → s ⊆ t → x ∩ s ⊆ y ∩ t- Defined in
- Mathlib.Data.Finset.Lattice.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- inf_le_infproof · cited by 54
Cited by4
Results whose statement or proof uses this declaration.
- Finset.inter_subset_inter_leftproof · cited by 0
- Finset.inter_subset_inter_rightproof · cited by 0
- Finset.doubling_lt_golden_ratioproof · cited by 0
- Finset.powerset_interproof · cited by 0