Theorems · Theorem · order theory
inf_bot_eq
∀ {α : Type u_1} [inst : SemilatticeInf α] [inst_1 : OrderBot α] (a : α), a ⊓ ⊥ = ⊥- Defined in
- Mathlib.Order.BoundedOrder.Lattice
- Cited by
- 14 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- SemilatticeInfOrderBot
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.
- Bot.botstatement · cited by 4,720
- OrderBotstatement and proof · cited by 1,055
- SemilatticeInfstatement and proof · cited by 634
- bot_leproof · cited by 306
- inf_of_le_rightproof · cited by 128
Cited by14
Results whose statement or proof uses this declaration.
- nhdsWithin_emptyproof · cited by 16
- inf_sdiff_assocproof · cited by 5
- isCompl_top_botproof · cited by 5
- Finset.sup_inf_distrib_leftproof · cited by 4
- sdiff_sdiff_rightproof · cited by 4
- IsCompl.sup_infproof · cited by 2
- inf_sdiffproof · cited by 2
- Submodule.range_ker_disjointproof · cited by 2
- LinearMap.BilinForm.finrank_orthogonalproof · cited by 1
- AlgebraicGeometry.eq_zero_of_basicOpen_eq_botproof · cited by 1
- Interval.coe_infproof · cited by 1
- Disjoint.sdiff_uniqueproof · cited by 0