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Theorems · Theorem · commutative algebra

OfNat.one_ne_ofNat

∀ {R : Type u_1} [inst : AddMonoidWithOne R] [CharZero R] (n : ℕ) [inst_2 : n.AtLeastTwo], 1 ≠ OfNat.ofNat n
Defined in
Mathlib.Algebra.CharZero.Defs
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext
Assumes
AddMonoidWithOneCharZeroNat.AtLeastTwo
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Around this declaration

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

add_notMem_of_addOrderOf_eq_two · cited by 1add_notMem_of_addOrderOf_…addOrderOf_eq_two_iff · cited by 0addOrderOf_eq_two_iffCharZero · cited by 932CharZeroNat.AtLeastTwo · cited by 405Nat.AtLeastTwoAddMonoidWithOne · cited by 313AddMonoidWithOneOfNat.ofNat_ne_one · cited by 3OfNat.ofNat_ne_oneOfNat.one_ne_ofNatCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.