Theorems · Theorem · order theory
add_inf
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddGroup α] [AddLeftMono 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
- LatticeAddGroupAddLeftMono
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
- AddLeftMonostatement and proof · cited by 687
- OrderIso.addLeftproof · cited by 18
- OrderIso.map_infproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- nsmul_two_semiclosedproof · cited by 1