Theorems · Theorem · order theory
SetRel.left_subset_comp
∀ {α : Type u_1} {β : Type u_2} {S : SetRel β β} {R : SetRel α β} [S.IsRefl], R ⊆ R.comp S- Defined in
- Mathlib.Data.Rel
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- SetRel.IsRefl
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetRelstatement and proof · cited by 581
- SetRel.compstatement and proof · cited by 136
- SetRel.IsReflstatement and proof · cited by 26
- SetRel.id_subsetproof · cited by 3
- SetRel.comp_subset_comp_rightproof · cited by 2
- SetRel.comp_idproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- comp3_mem_uniformityproof · cited by 4
- eventually_uniformity_iterate_comp_subsetproof · cited by 2
- lift'_comp_uniformityproof · cited by 2
- Dynamics.coverMincard_le_netMaxcardproof · cited by 2
- subset_comp_self_of_mem_uniformityproof · cited by 1
- SetRel.comp_eq_selfproof · cited by 0