Theorems · Theorem · general topology
HasCompactMulSupport.sup
∀ {X : Type u_1} {M : Type u_2} [inst : TopologicalSpace X] [inst_1 : One M] [inst_2 : SemilatticeSup M] {f g : X → M},
HasCompactMulSupport f → HasCompactMulSupport g → HasCompactMulSupport (f ⊔ g)- Defined in
- Mathlib.Topology.Algebra.Order.Support
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- closureproof · cited by 1,254
- SemilatticeSupstatement and proof · cited by 785
- Function.mulSupportproof · cited by 240
- closure_monoproof · cited by 133
- IsCompact.of_isClosed_subsetproof · cited by 67
- HasCompactMulSupportstatement and proof · cited by 43
- mulTSupportproof · cited by 41
- IsCompact.unionproof · cited by 23
- closure_unionproof · cited by 13
- isClosed_mulTSupportproof · cited by 5
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