Theorems · Theorem · number theory
Rat.cast_inv_nat
∀ {α : Type u_1} [inst : DivisionRing α] (n : ℕ), ↑(↑n)⁻¹ = (↑n)⁻¹- Defined in
- Mathlib.Data.Rat.Cast.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_zeroproof · cited by 1,870
- DivisionRingstatement and proof · cited by 1,062
- one_divproof · cited by 624
- Int.cast_oneproof · cited by 371
- inv_zeroproof · cited by 184
- Rat.cast_zeroproof · cited by 29
- Rat.cast_defproof · cited by 20
- Rat.inv_natCast_denproof · cited by 1
- Rat.inv_natCast_numproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Rat.cast_inv_intproof · cited by 0