Theorems · Theorem · number theory
IsUnit.natCast_factorial_of_lt
∀ {A : Type u_1} [inst : Semiring A] {n : ℕ}, IsUnit ↑(n - 1).factorial → ∀ {m : ℕ}, m < n → IsUnit ↑m.factorial- Defined in
- Mathlib.Data.Nat.Factorial.NatCast
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- IsUnitstatement and proof · cited by 1,602
- Nat.factorialstatement and proof · cited by 616
- IsUnit.natCast_factorial_of_leproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- DividedPowers.OfInvertibleFactorial.dpow_comp_of_mul_ltproof · cited by 1
- DividedPowers.OfInvertibleFactorial.dpow_mul_of_add_ltproof · cited by 1
- DividedPowers.OfInvertibleFactorial.dpow_add_of_ltproof · cited by 1