Theorems · Theorem · order theory
Right.one_lt_mul_of_lt_of_le
∀ {α : Type u_1} [inst : MulOneClass α] [inst_1 : Preorder α] [MulRightStrictMono α] {a b : α},
1 < a → 1 ≤ b → 1 < a * bAssumes right covariance.
The lemma assuming left covariance is Left.one_lt_mul_of_lt_of_le.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- MulRightStrictMonostatement and proof · cited by 108
- lt_mul_of_one_lt_of_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Right.one_lt_mul_of_leftproof · cited by 0