Theorems · Theorem · order theory
sSupHom.dual_symm_apply_toFun
∀ {α : Type u_2} {β : Type u_3} [inst : SupSet α] [inst_1 : SupSet β] (f : sInfHom αᵒᵈ βᵒᵈ) (a : α),
(sSupHom.dual.symm f) a = (⇑OrderDual.ofDual ∘ ⇑f ∘ ⇑OrderDual.toDual) a- Defined in
- Mathlib.Order.Hom.CompleteLattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses Quot.sound
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Cites10
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
- Equivstatement · cited by 8,337
- Equiv.symmstatement and proof · cited by 3,681
- OrderDualstatement and proof · cited by 927
- OrderDual.toDualstatement · cited by 481
- OrderDual.ofDualstatement · cited by 400
- SupSetstatement and proof · cited by 154
- sInfHomstatement and proof · cited by 43
- sSupHomstatement · cited by 40
- sSupHom.dualstatement and proof · cited by 7
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