Theorems · Inductive type · order theory
CompleteSemilatticeInf
Type u_8 → Type u_8
Note that we rarely use CompleteSemilatticeInf
(in fact, any such object is always a CompleteLattice, so it's usually best to start there).
Nevertheless it is sometimes a useful intermediate step in constructions.
- Defined in
- Mathlib.Order.CompleteLattice.Defs
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 0 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by30
Results whose statement or proof uses this declaration.
- sInf_lestatement and proof · cited by 110
- le_sInfstatement and proof · cited by 51
- isGLB_sInfstatement and proof · cited by 23
- sInf_le_sInfstatement and proof · cited by 23
- IsGLB.sInf_eqstatement and proof · cited by 14
- le_sInf_iffstatement and proof · cited by 13
- sInf_singletonstatement and proof · cited by 8
- iInf_le_iffstatement and proof · cited by 4
- sInf_le_of_lestatement and proof · cited by 3
- sInf_le_iffstatement and proof · cited by 2
- sInf_le_sInf_of_isCoinitialForstatement and proof · cited by 2
- isGLB_iff_sInf_eqstatement and proof · cited by 1