Theorems · Theorem · order theory
Finsupp.mem_rangeIcc_apply_iff
∀ {ι : Type u_1} {α : Type u_2} [inst : Zero α] [inst_1 : PartialOrder α] [inst_2 : LocallyFiniteOrder α]
[inst_3 : DecidableEq ι] {f g : ι →₀ α} {i : ι} {a : α}, a ∈ (f.rangeIcc g) i ↔ f i ≤ a ∧ a ≤ g i- Defined in
- Mathlib.Data.Finsupp.Interval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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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 · cited by 62,936
- Finsetstatement · cited by 13,712
- PartialOrderstatement and proof · cited by 6,410
- Finsuppstatement and proof · cited by 5,255
- LocallyFiniteOrderstatement and proof · cited by 658
- Finset.zerostatement · cited by 74
- Finset.mem_Iccproof · cited by 39
- Finsupp.rangeIccstatement · cited by 6
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