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Theorems · Theorem · order theory

IsOrderedVAdd.vadd_le_vadd

∀ {G : Type u_1} {P : Type u_2} [inst : LE G] [inst_1 : Preorder P] [inst_2 : VAdd G P] [IsOrderedVAdd G P] {a b : G}
  {c d : P}, a ≤ b → c ≤ d → a +ᵥ c ≤ b +ᵥ d
Defined in
Mathlib.Algebra.Order.AddTorsor
Cited by
1 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
LEPreorderVAddIsOrderedVAdd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Set.IsWF.min_vadd · cited by 1IsWF.min_vaddPreorder · cited by 7952PreorderLE.le.trans · cited by 3151le.transHVAdd.hVAdd · cited by 1820HVAdd.hVAddVAdd · cited by 616VAddIsOrderedVAdd · cited by 7IsOrderedVAddIsOrderedVAdd.vadd_le_vadd_left · cited by 4IsOrderedVAdd.vadd_le_vad…IsOrderedVAdd.vadd_le_vadd_right · cited by 4IsOrderedVAdd.vadd_le_vad…IsOrderedVAdd.vadd_le_vaddCITED BYCITES

Cites7

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Cited by1

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