Theorems · Theorem · order theory
Finset.isGLB_inf_id
∀ {α : Type u_2} [inst : SemilatticeInf α] [inst_1 : OrderTop α] {s : Finset α}, IsGLB (↑s) (s.inf id)- Defined in
- Mathlib.Data.Finset.Lattice.Fold
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemilatticeInfOrderTop
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coestatement and proof · cited by 8,199
- SemilatticeInfstatement and proof · cited by 634
- Set.image_congrproof · cited by 533
- OrderTopstatement and proof · cited by 493
- Finset.infstatement and proof · cited by 219
- IsGLBstatement and proof · cited by 213
- Set.image_id'proof · cited by 86
- Finset.isGLB_infproof · cited by 1
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