Theorems · Theorem · order theory
one_le
∀ {α : Type u_1} [inst : LE α] [inst_1 : One α] [IsBotOneClass α] {a : α}, 1 ≤ a- Defined in
- Mathlib.Algebra.Order.IsBotOne
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- LEOneIsBotOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- IsBotOneClassstatement and proof · cited by 35
- isBot_oneproof · cited by 2
Cited by24
Results whose statement or proof uses this declaration.
- Finset.prod_le_prod_of_subset'proof · cited by 3
- one_lt_iff_ne_oneproof · cited by 3
- IsBotOneClass.toOrderBotproof · cited by 3
- DivisorChain.first_of_chain_isUnitproof · cited by 2
- le_one_iff_eq_oneproof · cited by 2
- Associates.prod_le_prodproof · cited by 2
- Right.one_lt_mul_of_rightproof · cited by 1
- hasProd_one_iffproof · cited by 1
- Left.one_lt_mul_of_leftproof · cited by 1
- List.prod_eq_one_iffproof · cited by 1
- one_lt_of_gtproof · cited by 1
- Set.mulIndicator_leproof · cited by 0