Theorems · Definition · commutative algebra
MonomialOrder.toWithBotSyn
{σ : Type u_1} → (m : MonomialOrder σ) → WithBot (σ →₀ ℕ) ≃+ WithBot m.synA WithBot m.syn version of m.toSyn.
- Defined in
- Mathlib.Data.Finsupp.MonomialOrder
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsuppstatement · cited by 5,255
- WithBotstatement · cited by 1,498
- AddEquivstatement · cited by 1,087
- MonomialOrderstatement and proof · cited by 199
- MonomialOrder.synstatement · cited by 85
- MonomialOrder.toSynproof · cited by 82
- AddEquiv.withBotCongrproof · cited by 7
Cited by20
Results whose statement or proof uses this declaration.
- MonomialOrder.withBotDegree_le_withBotDegree_iff_of_ne_zerostatement · cited by 1
- MonomialOrder.withBotDegree_add_lestatement and proof · cited by 1
- MonomialOrder.withBotDegree_add_of_ltstatement and proof · cited by 1
- MonomialOrder.withBotDegree_le_withBotDegree_iffstatement and proof · cited by 0
- MonomialOrder.withBotDegree_le_withBotDegree_of_support_subsetstatement and proof · cited by 0
- MonomialOrder.withBotDegree_lt_withBotDegree_iffstatement and proof · cited by 0
- MonomialOrder.withBotDegree_lt_withBotDegree_iff_of_ne_zerostatement · cited by 0
- MonomialOrder.withBotDegree_mul_lestatement and proof · cited by 0
- MonomialOrder.withBotDegree_sum_lestatement and proof · cited by 0
- MonomialOrder.le_withBotDegreestatement and proof · cited by 0
- MonomialOrder.toWithBotSyn_applystatement · cited by 0
- MonomialOrder.toWithBotSyn_apply_botstatement · cited by 0