Theorems · Theorem · number theory
Nat.div2_bit
∀ (b : Bool) (n : ℕ), (Nat.bit b n).div2 = n
- Defined in
- Mathlib.Data.Nat.Bits
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.bitstatement and proof · cited by 92
- Nat.div2statement · cited by 25
- Nat.bit_div_twoproof · cited by 4
- Nat.div2_valproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- Nat.testBit_bit_succproof · cited by 6
- Nat.bodd_add_div2proof · cited by 2
- Nat.div2_bits_eq_tailproof · cited by 1
- Nat.bitwise_bit'proof · cited by 1
- Nat.bitwise_eq_binaryRecproof · cited by 0
- Nat.div2_bit0proof · cited by 0
- Nat.div2_bit1proof · cited by 0