Theorems · Theorem · order theory
SetLike.coe_mono
∀ {A : Type u_1} {B : Type u_2} [inst : SetLike A B] [inst_1 : Preorder A] [IsConcreteLE A B], Monotone SetLike.coe- Defined in
- Mathlib.Data.SetLike.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- SetLikePreorderIsConcreteLE
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.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Preorderstatement and proof · cited by 7,952
- Monotonestatement · cited by 1,397
- SetLikestatement and proof · cited by 1,084
- SetLike.coe_subset_coeproof · cited by 53
- IsConcreteLEstatement and proof · cited by 28
Cited by18
Results whose statement or proof uses this declaration.
- LinearMap.range_comp_le_rangeproof · cited by 10
- UniqueDiffWithinAt.monoproof · cited by 8
- LinearMap.map_le_rangeproof · cited by 7
- UniqueDiffWithinAt.univ_piproof · cited by 2
- LieIdeal.map_monoproof · cited by 2
- FirstOrder.Language.Hom.map_le_rangeproof · cited by 2
- AlgHom.range_comp_le_rangeproof · cited by 2
- IntermediateField.map_monoproof · cited by 1
- UniqueDiffWithinAt.accPtproof · cited by 1
- range_cfc_subsetproof · cited by 1
- range_cfcₙ_subsetproof · cited by 1
- Polynomial.quo_mul_prod_add_sum_rem_mul_prod_uniqueproof · cited by 1