Theorems · Theorem · combinatorics
RootedTree.mem_subtrees_disjoint_iff
∀ {t : RootedTree} {t₁ t₂ : SubRootedTree t},
t₁ ∈ t.subtrees → t₂ ∈ t.subtrees → ∀ (v₁ v₂ : ↑t), v₁ ∈ t₁ → v₂ ∈ t₂ → (Disjoint v₁ v₂ ↔ t₁ ≠ t₂)- Defined in
- Mathlib.Order.SuccPred.Tree
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Bot.botproof · cited by 4,720
- Disjointstatement and proof · cited by 2,201
- disjoint_iffproof · cited by 76
- bot_lt_iff_ne_botproof · cited by 57
- Disjoint.eq_botproof · cited by 52
- le_inf_iffproof · cited by 48
- RootedTreestatement and proof · cited by 14
- SubRootedTreestatement and proof · cited by 10
- RootedTree.αstatement and proof · cited by 10
- SubRootedTree.rootproof · cited by 8
- IsAtom.le_iff_eqproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- RootedTree.subtrees_disjointproof · cited by 0