Theorems · Theorem · order theory
inf_add
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddGroup α] [AddRightMono α] (a b c : α), a ⊓ b + c = (a + c) ⊓ (b + c)- Defined in
- Mathlib.Algebra.Order.Group.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
- Assumes
- LatticeAddGroupAddRightMono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- Latticestatement and proof · cited by 916
- AddRightMonostatement and proof · cited by 367
- OrderIso.map_infproof · cited by 17
- OrderIso.addRightproof · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- nsmul_two_semiclosedproof · cited by 1
- posPart_inf_negPart_eq_zeroproof · cited by 0