Theorems · Theorem · field theory
NNRat.cast_zero
∀ {α : Type u_3} [inst : DivisionSemiring α], ↑0 = 0- Defined in
- Mathlib.Data.Rat.Cast.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- NNRatstatement · cited by 523
- NNRat.caststatement · cited by 235
- DivisionSemiringstatement and proof · cited by 216
- NNRat.cast_natCastproof · cited by 31
Cited by7
Results whose statement or proof uses this declaration.
- NNRat.castHomproof · cited by 10
- NNRat.cast_eq_zeroproof · cited by 1
- NNRat.ceil_castproof · cited by 1
- NNRat.not_cast_lt_zeroproof · cited by 0
- NNRat.cast_nonposproof · cited by 0
- NNRat.cast_lt_zeroproof · cited by 0
- NNRat.cast_posproof · cited by 0