Theorems · Theorem · order theory
infIccOrderIsoIccSup_apply_coe
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : IsModularLattice α] (a b : α) (x : ↑(Set.Icc (a ⊓ b) a)),
↑((infIccOrderIsoIccSup a b) x) = ↑x ⊔ b- Defined in
- Mathlib.Order.ModularLattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- LatticeIsModularLattice
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Set.Iccstatement and proof · cited by 1,702
- Latticestatement and proof · cited by 916
- RelIsostatement · cited by 456
- IsModularLatticestatement and proof · cited by 86
- infIccOrderIsoIccSupstatement and proof · cited by 6
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