Mathlib Map

Theorems · Theorem · field theory

Rat.cast_zero

∀ {α : Type u_3} [inst : DivisionRing α], ↑0 = 0
Defined in
Mathlib.Data.Rat.Cast.Defs
Cited by
29 results in Mathlib
Foundations
Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DivisionRing
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Rat.castHom · cited by 33Rat.castHomPeriodPair.ω₁_div_two_notMem_lattice · cited by 10PeriodPair.ω₁_div_two_not…Rat.cast_nonneg · cited by 5Rat.cast_nonnegReal.zero_lt_one · cited by 5Real.zero_lt_oneRat.cast_pos · cited by 4Rat.cast_posPadic.valuation_ratCast · cited by 3Padic.valuation_ratCastComplex.hasDerivAt_Gamma_one · cited by 3Complex.hasDerivAt_Gamma_…ArchimedeanClass.mk_ratCast_nonneg · cited by 3ArchimedeanClass.mk_ratCa…Padic.norm_rat_le_one · cited by 2Padic.norm_rat_le_oneRat.cast_nonpos · cited by 2Rat.cast_nonposConditionallyCompleteLinearOrderedField.inducedMap_zero · cited by 2ConditionallyCompleteLine…Real.deriv_Gamma_nat · cited by 2Real.deriv_Gamma_natRat.cast_eq_zero · cited by 2Rat.cast_eq_zeroReal.eulerMascheroniSeq_lt_eulerMascheroniSeq' · cited by 1Real.eulerMascheroniSeq_l…Rel.abs_edgeDensity_sub_edgeDensity_le_two_mul_sub_sq · cited by 1Rel.abs_edgeDensity_sub_e…DivisionRing · cited by 1062DivisionRingInt.cast_zero · cited by 188Int.cast_zeroRat.cast_intCast · cited by 74Rat.cast_intCastRat.cast_zeroCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by30

Results whose statement or proof uses this declaration.