inf_of_le_left

∀ {α : Type u} [inst : SemilatticeInf α] {a b : α}, a ≤ b → a ⊓ b = a

Alias of the reverse direction of inf_eq_left.

Defined in: Mathlib.Order.Lattice
Cited by: 186 results in Mathlib
Foundations: Depth 8 from the axioms, rests on 26 definitions · uses propext
Assumes: SemilatticeInf

Around this declaration

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

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.