Theorems · Theorem · order theory
SetRel.symmetrize_subset_self
∀ {α : Type u_1} {R : SetRel α α}, R.symmetrize ⊆ R- Defined in
- Mathlib.Data.Rel
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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.
- SetRelstatement and proof · cited by 581
- Set.inter_subset_leftproof · cited by 360
- SetRel.symmetrizestatement · cited by 15
Cited by8
Results whose statement or proof uses this declaration.
- comp_symm_mem_uniformity_setsproof · cited by 18
- UniformSpace.hasBasis_symmetricproof · cited by 5
- uniformity_hasBasis_open_symmetricproof · cited by 4
- Dynamics.coverEntropy_eq_iSup_netEntropyEntourageproof · cited by 2
- Dynamics.coverEntropy_image_of_comapproof · cited by 2
- Dynamics.coverEntropyInf_eq_iSup_netEntropyInfEntourageproof · cited by 2
- Dynamics.coverEntropyInf_image_of_comapproof · cited by 2
- UniformSpace.mem_nhds_iff_symmproof · cited by 0