Theorems · Theorem · order theory
inf_left_idem
∀ {α : Type u} [inst : SemilatticeInf α] (a b : α), a ⊓ (a ⊓ b) = a ⊓ b- Defined in
- Mathlib.Order.Lattice
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- SemilatticeInf
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SemilatticeInfstatement and proof · cited by 634
- inf_le_leftproof · cited by 286
- inf_of_le_rightproof · cited by 128
Cited by3
Results whose statement or proof uses this declaration.
- nsmul_two_semiclosedproof · cited by 1
- pow_two_semiclosedproof · cited by 1
- Finset.inter_left_idemproof · cited by 0