Theorems · Theorem · order theory
Set.ite_mono
∀ {α : Type u_1} (t : Set α) {s₁ s₁' s₂ s₂' : Set α}, s₁ ⊆ s₂ → s₁' ⊆ s₂' → t.ite s₁ s₁' ⊆ t.ite s₂ s₂'- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Set.itestatement · cited by 44
- Set.inter_subset_inter_leftproof · cited by 36
- Set.union_subset_unionproof · cited by 29
- Set.sdiff_subset_sdiff_leftproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Set.inter_subset_iteproof · cited by 0