Theorems · Theorem · order theory
Right.one_lt_mul_of_right
∀ {α : Type u_1} [inst : MulOneClass α] [inst_1 : Preorder α] [IsBotOneClass α] [MulRightMono α] {b : α},
1 < b → ∀ (a : α), 1 < a * b- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- MulOneClassstatement and proof · cited by 1,018
- MulRightMonostatement and proof · cited by 263
- IsBotOneClassstatement and proof · cited by 35
- one_leproof · cited by 23
- Right.one_lt_mul_of_le_of_ltproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- one_lt_mul_of_rightproof · cited by 0