Theorems · Theorem · order theory
InitialSeg.mem_range_of_rel
∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} (f : InitialSeg r s) {a : α} {b : β},
s b (f a) → b ∈ Set.range ⇑f- Defined in
- Mathlib.Order.InitialSeg
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses 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.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Set.rangestatement · cited by 4,705
- InitialSegstatement and proof · cited by 70
- InitialSeg.mem_range_of_rel'proof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- InitialSeg.mem_range_of_leproof · cited by 6
- InitialSeg.isSuccPrelimit_apply_iffproof · cited by 3
- InitialSeg.lt_apply_iffproof · cited by 3
- InitialSeg.exists_eq_iff_relproof · cited by 1
- InitialSeg.accproof · cited by 1
- InitialSeg.eq_or_principalproof · cited by 0