Theorems · Theorem · commutative algebra
Int.cast_one
∀ {R : Type u} [inst : AddGroupWithOne R], ↑1 = 1- Defined in
- Mathlib.Data.Int.Cast.Basic
- Cited by
- 371 results in Mathlib
- Foundations
- Depth 11 from the axioms, rests on 57 definitions · uses no axioms
- Assumes
- AddGroupWithOne
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- Int.cast_natCastproof · cited by 393
- AddGroupWithOnestatement and proof · cited by 111
Cited by371
Results whose statement or proof uses this declaration.
- Int.cast_mulproof · cited by 113
- Int.cast_powproof · cited by 59
- Rat.cast_oneproof · cited by 52
- Matrix.det_diagonalproof · cited by 27
- Int.coe_negOnePowproof · cited by 24
- Int.floor_eq_iffproof · cited by 15
- Int.lt_floor_add_oneproof · cited by 12
- Real.Angle.neg_coe_piproof · cited by 12
- Polynomial.resultant_commproof · cited by 11
- Int.cast_negOnePowproof · cited by 10
- UpperHalfPlane.modular_S_smulproof · cited by 9
- Int.ceil_eq_iffproof · cited by 8
Showing the 200 most cited of 371.