Theorems · Theorem · order theory
lt_mul_of_one_lt_of_le
∀ {α : Type u_1} [inst : MulOneClass α] [inst_1 : Preorder α] [MulRightStrictMono α] {a b c : α},
1 < a → b ≤ c → b < a * c- Cited by
- 1 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- one_mulproof · cited by 2,841
- MulOneClassstatement and proof · cited by 1,018
- MulRightStrictMonostatement and proof · cited by 108
- mul_lt_mul_leftproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- Right.one_lt_mul_of_lt_of_leproof · cited by 1