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Theorems · Definition · number theory

PosNum.bit

Bool → PosNum → PosNum

bit b n appends the bit b to the end of n, where bit tt x = x1 and bit ff x = x0.

Defined in
Mathlib.Data.Num.Basic
Cited by
6 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Num.castNum_eq_bitwise · cited by 4Num.castNum_eq_bitwisePosNum.bit_to_nat · cited by 1PosNum.bit_to_natNum.castNum_xor · cited by 0Num.castNum_xorNum.castNum_and · cited by 0Num.castNum_andNum.castNum_ldiff · cited by 0Num.castNum_ldiffNum.castNum_or · cited by 0Num.castNum_orPosNum · cited by 171PosNumPosNum.bitCITED BYCITES

Cites1

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

  • PosNumstatement · cited by 171

Cited by6

Results whose statement or proof uses this declaration.