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Theorems · Theorem · order theory

Finset.uIcc_injective_right

∀ {α : Type u_2} [inst : DistribLattice α] [inst_1 : LocallyFiniteOrder α] (a : α),
  Function.Injective fun b => Finset.uIcc b a
Defined in
Mathlib.Order.Interval.Finset.Basic
Cited by
1 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DistribLatticeLocallyFiniteOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.uIcc_injective_left · cited by 0Finset.uIcc_injective_leftFinset · cited by 13712FinsetLocallyFiniteOrder · cited by 658LocallyFiniteOrderDistribLattice · cited by 150DistribLatticeFinset.uIcc · cited by 84Finset.uIccFinset.ext_iff · cited by 5Finset.ext_iffFinset.left_mem_uIcc · cited by 3Finset.left_mem_uIccFinset.eq_of_mem_uIcc_of_mem_uIcc · cited by 1Finset.eq_of_mem_uIcc_of_…Finset.uIcc_injective_rightCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.