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Theorems · Theorem · order theory

ClosureOperator.closure_sup_closure

∀ {α : Type u_1} [inst : SemilatticeSup α] (c : ClosureOperator α) (x y : α), c (c x ⊔ c y) = c (x ⊔ y)
Defined in
Mathlib.Order.Closure
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
SemilatticeSup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LowerAdjoint.closure_sup_closure · cited by 0LowerAdjoint.closure_sup_…DFunLike.coe · cited by 62936DFunLike.coeSemilatticeSup · cited by 785SemilatticeSupClosureOperator · cited by 371ClosureOperatorClosureOperator.closure_sup_closure_left · cited by 5ClosureOperator.closure_s…ClosureOperator.closure_sup_closure_right · cited by 4ClosureOperator.closure_s…ClosureOperator.closure_sup_c…CITED BYCITES

Cites5

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Cited by1

Results whose statement or proof uses this declaration.