Theorems · Theorem · order theory
Set.range_injOn_strictMono
∀ {β : Type u_2} {γ : Type u_3} [inst : LinearOrder β] [inst_1 : Preorder γ] [WellFoundedLT β],
Set.InjOn Set.range {f | StrictMono f}- Defined in
- Mathlib.Order.WellFounded
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, 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.
- Setstatement · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Preorderstatement and proof · cited by 7,952
- Set.ofPredstatement and proof · cited by 6,101
- Set.rangestatement and proof · cited by 4,705
- StrictMonostatement and proof · cited by 706
- Set.InjOnstatement · cited by 543
- WellFoundedLTstatement and proof · cited by 491
- Set.mem_range_selfproof · cited by 328
- lt_trichotomyproof · cited by 178
- StrictMono.injectiveproof · cited by 94
- StrictMono.lt_iff_ltproof · cited by 86
Cited by2
Results whose statement or proof uses this declaration.
- StrictMono.range_injproof · cited by 4
- Set.range_injOn_strictAntiproof · cited by 1