Theorems · Theorem · order theory
inf_comm
∀ {α : Type u} [inst : SemilatticeInf α] (a b : α), a ⊓ b = b ⊓ a- Defined in
- Mathlib.Order.Lattice
- Cited by
- 139 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 20 definitions · uses propext
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeInfstatement and proof · cited by 634
- inf_le_leftproof · cited by 286
- inf_le_rightproof · cited by 238
- ge_antisymmproof · cited by 51
- le_inf_iffproof · cited by 48
Cited by140
Results whose statement or proof uses this declaration.
- inf_sup_rightproof · cited by 26
- Set.uIcc_commproof · cited by 18
- inf_left_commproof · cited by 9
- inf_right_commproof · cited by 9
- bihimp_commproof · cited by 8
- sdiff_uniqueproof · cited by 6
- Filter.prod_inf_prodproof · cited by 6
- inf_sdiff_self_rightproof · cited by 6
- Module.FinitePresentation.fg_kerproof · cited by 6
- Ideal.sup_iInf_eq_topproof · cited by 5
- nhds_eq_iInf_abs_subproof · cited by 5
- nhds_eq_iInf_mabs_divproof · cited by 5