Theorems · Theorem · logic and foundations
Relation.cutExpand_fibration
∀ {α : Type u_1} (r : α → α → Prop),
Relation.Fibration (Prod.GameAdd (Relation.CutExpand r) (Relation.CutExpand r)) (Relation.CutExpand r) fun s =>
s.1 + s.2For any relation r on α, multiset addition Multiset α × Multiset α → Multiset α is a
fibration between the game sum of CutExpand r with itself and CutExpand r itself.
- Defined in
- Mathlib.Logic.Hydra
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- add_commproof · cited by 1,535
- add_assocproof · cited by 746
- Multiset.eraseproof · cited by 93
- add_right_commproof · cited by 85
- Multiset.cons_eraseproof · cited by 25
- Relation.CutExpandstatement and proof · cited by 19
- Prod.GameAddstatement · cited by 18
- Multiset.mem_addproof · cited by 16
- Relation.Fibrationstatement · cited by 14
- Multiset.singleton_addproof · cited by 13
- Multiset.erase_add_left_posproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Relation.acc_of_singletonproof · cited by 2