Theorems · Theorem · logic and foundations
Relation.cutExpand_double
∀ {α : Type u_1} {r : α → α → Prop} {a a₁ a₂ : α}, r a₁ a → r a₂ a → Relation.CutExpand r {a₁, a₂} {a}- Defined in
- Mathlib.Logic.Hydra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Multisetstatement · cited by 2,627
- Relation.CutExpandstatement · cited by 19
- Relation.cutExpand_singletonproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Relation.cutExpand_double_leftproof · cited by 0