Theorems · Theorem · order theory
StrictAnti.antitone
∀ {α : Type u} {β : Type v} [inst : PartialOrder α] [inst_1 : Preorder β] {f : α → β}, StrictAnti f → Antitone f- Defined in
- Mathlib.Order.Monotone.Defs
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderPreorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- PartialOrderstatement and proof · cited by 6,410
- LT.lt.leproof · cited by 2,189
- Antitonestatement · cited by 563
- StrictAntistatement and proof · cited by 204
- antitone_iff_forall_ltproof · cited by 7
Cited by15
Results whose statement or proof uses this declaration.
- List.SortedGT.sortedGEproof · cited by 3
- Fin.rev_antiproof · cited by 2
- Real.eulerMascheroniSeq_lt_eulerMascheroniSeq'proof · cited by 1
- MeasureTheory.measurableSet_range_of_continuous_injectiveproof · cited by 1
- exists_seq_strictAnti_strictMono_tendstoproof · cited by 1
- HahnEmbedding.Partial.truncLT_eval_mem_range_extendFunproof · cited by 1
- HahnEmbedding.Partial.eval_eq_truncLTproof · cited by 1
- Real.eulerMascheroniConstant_lt_eulerMascheroniSeq'proof · cited by 1
- MeasureTheory.isTightMeasureSet_of_isCompact_closureproof · cited by 0
- HahnEmbedding.Partial.isWF_support_evalCoeffproof · cited by 0
- Real.antitone_rpow_of_base_le_oneproof · cited by 0
- StrictAnti.prodMapproof · cited by 0