Theorems · Theorem · order theory
Set.uIcc_of_ge
∀ {α : Type u_1} [inst : Lattice α] {a b : α}, b ≤ a → Set.uIcc a b = Set.Icc b a- Cited by
- 22 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
- Assumes
- Lattice
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.
- Setstatement and proof · cited by 53,352
- Set.Iccstatement and proof · cited by 1,702
- Latticestatement and proof · cited by 916
- Set.uIccstatement · cited by 393
- sup_eq_leftproof · cited by 71
- inf_eq_rightproof · cited by 64
Cited by22
Results whose statement or proof uses this declaration.
- intervalIntegral.integral_eq_sub_of_hasDeriv_rightproof · cited by 8
- Set.uIcc_of_gtproof · cited by 3
- intermediate_value_uIccproof · cited by 3
- Polynomial.Chebyshev.integral_measureT_eq_integral_cosproof · cited by 3
- Set.compl_ordConnectedSection_ordSeparatingSet_mem_nhdsGEproof · cited by 2
- OrderEmbedding.preimage_uIccproof · cited by 2
- segment_subset_uIccproof · cited by 2
- intervalIntegral.intervalIntegrable_deriv_of_nonnegproof · cited by 1
- intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonnegproof · cited by 1
- intervalIntegral.integrable_deriv_smul_comp_iff_of_deriv_nonposproof · cited by 1
- Nonneg.segment_eq_uIccproof · cited by 1
- intervalIntegral.integral_deriv_smul_comp_of_deriv_nonnegproof · cited by 1