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Theorems · Theorem · order theory

div_sup

∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] [MulLeftMono α] [MulRightMono α] (a b c : α),
  c / (a ⊔ b) = c / a ⊓ c / b
Defined in
Mathlib.Algebra.Order.Group.Lattice
Cited by
1 results in Mathlib
Foundations
Depth 27 from the axioms · uses propext, Quot.sound
Assumes
LatticeGroupMulLeftMonoMulRightMono
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Around this declaration

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

inf_eq_div_oneLePart_div · cited by 0inf_eq_div_oneLePart_divGroup · cited by 6238GroupLattice · cited by 916LatticeMulLeftMono · cited by 410MulLeftMonoMulRightMono · cited by 263MulRightMonoOrderIso.map_sup · cited by 37OrderIso.map_supOrderIso.divLeft · cited by 4OrderIso.divLeftdiv_supCITED BYCITES

Cites6

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Cited by1

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