Theorems · Theorem · commutative algebra
Int.cast_natCast
∀ {R : Type u} [inst : AddGroupWithOne R] (n : ℕ), ↑↑n = ↑n- Defined in
- Mathlib.Data.Int.Cast.Basic
- Cited by
- 393 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 15 definitions · uses no axioms
- Assumes
- AddGroupWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupWithOnestatement and proof · cited by 111
- AddGroupWithOne.intCast_ofNatproof · cited by 4
Cited by393
Results whose statement or proof uses this declaration.
- Int.cast_oneproof · cited by 371
- Int.cast_negproof · cited by 224
- Int.cast_addproof · cited by 124
- zsmul_eq_mulproof · cited by 120
- Int.cast_mulproof · cited by 113
- Real.rpow_natCastproof · cited by 93
- Rat.cast_natCastproof · cited by 67
- Nat.cast_natAbsproof · cited by 30
- Int.cast_smul_eq_zsmulproof · cited by 28
- zsmul_oneproof · cited by 26
- Rat.num_div_denproof · cited by 21
- Int.cast_nonnegproof · cited by 14
Showing the 200 most cited of 393.