Theorems · Theorem · order theory
one_le_zpow
∀ {G : Type u_2} [inst : DivInvMonoid G] [inst_1 : Preorder G] [MulLeftMono G] {x : G},
1 ≤ x → ∀ {n : ℤ}, 0 ≤ n → 1 ≤ x ^ n- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
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
- MulLeftMonostatement and proof · cited by 410
- zpow_natCastproof · cited by 271
- DivInvMonoidstatement and proof · cited by 103
- one_le_pow_of_one_le'proof · cited by 6
Cited by2
Results whose statement or proof uses this declaration.
- zpow_left_monoproof · cited by 1
- Subgroup.isLeast_of_closure_iff_eq_mabsproof · cited by 0