Theorems · Theorem · order theory
DFinsupp.toLex_monotone
∀ {ι : Type u_1} {α : ι → Type u_2} [inst : (i : ι) → Zero (α i)] [inst_1 : LinearOrder ι]
[inst_2 : (i : ι) → PartialOrder (α i)], Monotone ⇑toLex- Defined in
- Mathlib.Data.DFinsupp.Lex
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroLinearOrderPartialOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- LinearOrderstatement and proof · cited by 8,572
- Equivstatement · cited by 8,337
- PartialOrderstatement and proof · cited by 6,410
- Monotonestatement · cited by 1,397
- DFinsuppstatement and proof · cited by 694
- Lexstatement · cited by 370
- toLexstatement and proof · cited by 195
- LE.le.not_gtproof · cited by 189
- ofLexproof · cited by 127
- LE.le.lt_of_neproof · cited by 116
- Finset.min'proof · cited by 58
Cited by2
Results whose statement or proof uses this declaration.
- Finsupp.toLex_monotoneproof · cited by 1
- DFinsupp.toColex_monotoneproof · cited by 0