Theorems · Theorem · order theory
DFinsupp.colex_lt_iff_of_unique
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → Zero (α i)] [inst_1 : Unique ι] [inst_2 : (i : ι) → LT (α i)]
[inst_3 : Preorder ι] {x y : Colex (Π₀ (i : ι), α i)}, x < y ↔ (ofColex x) default < (ofColex y) default- Defined in
- Mathlib.Data.DFinsupp.Lex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, 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
- Equivstatement · cited by 8,337
- Preorderstatement and proof · cited by 7,952
- DFinsuppstatement and proof · cited by 694
- Uniquestatement and proof · cited by 400
- Colexstatement and proof · cited by 131
- ofColexstatement · cited by 51
- DFinsupp.lex_iff_of_uniqueproof · cited by 2
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