Theorems · Theorem · order theory
Finset.inter_subset_union
∀ {α : Type u_1} [inst : DecidableEq α] {s t : Finset α}, s ∩ t ⊆ s ∪ t- Defined in
- Mathlib.Data.Finset.Lattice.Basic
- Cited by
- 9 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_supproof · cited by 14
Cited by9
Results whose statement or proof uses this declaration.
- HasSum.nat_add_negproof · cited by 10
- ArithmeticFunction.IsMultiplicative.lcm_apply_mul_gcd_applyproof · cited by 2
- cauchy_davenport_minOrder_addproof · cited by 2
- HasProd.nat_mul_negproof · cited by 2
- cauchy_davenport_minOrder_mulproof · cited by 1
- Finset.addDysonETransform_idemproof · cited by 0
- Finset.mulDysonETransform_idemproof · cited by 0
- Finset.mulDysonETransform.smul_finset_snd_subset_fstproof · cited by 0
- Finset.addDysonETransform.vadd_finset_snd_subset_fstproof · cited by 0