Theorems · Theorem · order theory
Int.fract_mul_natCast
∀ {R : Type u_2} [inst : Ring R] [inst_1 : LinearOrder R] [inst_2 : FloorRing R] [IsOrderedRing R] (a : R) (b : ℕ),
∃ z, Int.fract a * ↑b - Int.fract (a * ↑b) = ↑z- Defined in
- Mathlib.Algebra.Order.Floor.Ring
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Ringstatement and proof · cited by 7,463
- mul_oneproof · cited by 3,885
- Nat.cast_oneproof · cited by 2,501
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- sub_selfproof · cited by 996
- IsOrderedRingstatement and proof · cited by 777
- Nat.cast_addproof · cited by 586
- mul_addproof · cited by 413
- FloorRingstatement and proof · cited by 405
- Int.cast_zeroproof · cited by 188
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