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Theorems · Theorem · order theory

Nat.AtLeastTwo.one_lt

∀ {n : ℕ} [n.AtLeastTwo], 1 < n
Defined in
Mathlib.Data.Nat.Init
Cited by
5 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
Nat.AtLeastTwo
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Nat.one_lt_ofNat · cited by 3Nat.one_lt_ofNatNat.AtLeastTwo.ne_one · cited by 2AtLeastTwo.ne_oneAffine.Simplex.abs_inner_vsub_altitudeFoot_lt_mul · cited by 2Simplex.abs_inner_vsub_al…Affine.Simplex.ExcenterExists.touchpoint_ne_point · cited by 1ExcenterExists.touchpoint…Nat.not_ofNat_le_one · cited by 1Nat.not_ofNat_le_oneNat.AtLeastTwo · cited by 405Nat.AtLeastTwoNat.AtLeastTwo.prop · cited by 9AtLeastTwo.propAtLeastTwo.one_ltCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by5

Results whose statement or proof uses this declaration.