Theorems · Theorem · order theory
antitone_const_tsub
∀ {α : Type u_1} [inst : Preorder α] [inst_1 : AddCommSemigroup α] [inst_2 : Sub α] [OrderedSub α] {c : α}
[AddLeftMono α], Antitone fun x => c - x- Defined in
- Mathlib.Algebra.Order.Sub.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- AddLeftMonostatement and proof · cited by 687
- Eq.leproof · cited by 605
- Antitonestatement · cited by 563
- OrderedSubstatement and proof · cited by 236
- AddCommSemigroupstatement and proof · cited by 178
- tsub_le_tsubproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.le_measure_compl_liminf_of_limsup_measure_leproof · cited by 1
- MeasureTheory.limsup_measure_compl_le_of_le_liminf_measureproof · cited by 1