Theorems · Theorem · logic and foundations
Relation.reflTransGen_iff_eq_or_transGen
∀ {α : Type u_1} {r : α → α → Prop} {a b : α}, Relation.ReflTransGen r a b ↔ b = a ∨ Relation.TransGen r a b- Defined in
- Mathlib.Logic.Relation
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Relation.ReflTransGenstatement and proof · cited by 104
- Relation.TransGen.to_reflTransGenproof · cited by 8
- Relation.TransGen.tail'proof · cited by 3
- Relation.ReflTransGen.casesOnproof · cited by 2
Cited by6
Results whose statement or proof uses this declaration.
- Relation.transGen_reflGenproof · cited by 4
- transGen_of_succ_of_neproof · cited by 2
- transGen_of_succ_of_gtproof · cited by 1
- transGen_of_succ_of_ltproof · cited by 1
- StateTransition.tr_reachesproof · cited by 1
- Set.WellFoundedOn.acc_iff_wellFoundedOnproof · cited by 0