Theorems · Theorem · order theory
le_mul_of_one_le_of_le
∀ {α : Type u_1} [inst : MulOneClass α] [inst_1 : Preorder α] [MulRightMono α] {a b c : α}, 1 ≤ a → b ≤ c → b ≤ a * c- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 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
- MulRightMonostatement and proof · cited by 263
- mul_le_mul_leftproof · cited by 31
Cited by4
Results whose statement or proof uses this declaration.
- Right.one_le_mulproof · cited by 4
- List.single_le_prodproof · cited by 2
- mul_eq_one_iff_of_one_leproof · cited by 2
- IsUnifLocDoublingMeasure.eventually_measure_mul_le_scalingConstantOf_mulproof · cited by 2