Theorems · Theorem · order theory
mul_inf
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : Group α] [MulLeftMono 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
- LatticeGroupMulLeftMono
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.
- Groupstatement and proof · cited by 6,238
- Latticestatement and proof · cited by 916
- MulLeftMonostatement and proof · cited by 410
- OrderIso.mulLeftproof · cited by 18
- OrderIso.map_infproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- pow_two_semiclosedproof · cited by 1