Theorems · Theorem · order theory
pow_left_mono
∀ {M : Type u_3} [inst : Monoid M] [inst_1 : Preorder M] [MulLeftMono M] [MulRightMono M] (n : ℕ),
Monotone fun a => a ^ n- Cited by
- 9 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Monoidstatement and proof · cited by 3,887
- Monotonestatement · cited by 1,397
- MulLeftMonostatement and proof · cited by 410
- MulRightMonostatement and proof · cited by 263
- monotone_idproof · cited by 31
- Monotone.pow_constproof · cited by 1
Cited by9
Results whose statement or proof uses this declaration.
- lt_of_pow_lt_pow_left'proof · cited by 4
- Height.mulHeight_powproof · cited by 3
- Set.pow_subset_pow_leftproof · cited by 2
- Finset.pow_subset_pow_leftproof · cited by 2
- WittVector.pow_dvd_ghostComponent_of_dvd_coeffproof · cited by 1
- ModularFormClass.exists_boundproof · cited by 1
- ENat.epow_left_monoproof · cited by 0
- Finset.sup'_powproof · cited by 0
- Finset.inf'_powproof · cited by 0