Theorems · Theorem · order theory
Finset.inter_comm
∀ {α : Type u_1} [inst : DecidableEq α] (s₁ s₂ : Finset α), s₁ ∩ s₂ = s₂ ∩ s₁- Defined in
- Mathlib.Data.Finset.Lattice.Basic
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 56 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.
Cites1
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
Cited by25
Results whose statement or proof uses this declaration.
- Finset.inter_singleton_of_memproof · cited by 8
- Finset.sum_congr_of_eq_on_interproof · cited by 6
- Finset.inter_insert_of_notMemproof · cited by 5
- Finset.prod_congr_of_eq_on_interproof · cited by 4
- Finset.inter_univproof · cited by 4
- Finset.inter_insert_of_memproof · cited by 4
- Finset.inter_singleton_of_notMemproof · cited by 3
- SimpleGraph.IsFiveWheelLike.symmproof · cited by 2
- Finset.sum_sdiff_lt_sum_sdiffproof · cited by 1
- IsLowerSet.card_inter_le_finsetproof · cited by 1
- Finset.sum_Ico_le_sumproof · cited by 1
- Finset.convolution_invproof · cited by 1