Theorems · Theorem · order theory
sq_le
∀ {M₀ : Type u_2} [inst : MonoidWithZero M₀] [inst_1 : Preorder M₀] {a : M₀} [PosMulMono M₀], 0 ≤ a → a ≤ 1 → a ^ 2 ≤ a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
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
- MonoidWithZerostatement and proof · cited by 456
- two_ne_zeroproof · cited by 251
- PosMulMonostatement and proof · cited by 165
- pow_le_of_le_oneproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.