Theorems · Theorem · order theory
le_mul_of_le_left
∀ {α : Type u} [inst : Mul α] [inst_1 : Preorder α] [CanonicallyOrderedMul α] {a b c : α}, a ≤ b → a ≤ b * c- Cited by
- 1 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.
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
- LE.le.trans'proof · cited by 140
- CanonicallyOrderedMulstatement and proof · cited by 51
- le_self_mulproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- le_mul_rightproof · cited by 1