Theorems · Theorem · number theory
Nat.bits_append_bit
∀ (n : ℕ) (b : Bool), (n = 0 → b = true) → (Nat.bit b n).bits = b :: n.bits
- Defined in
- Mathlib.Data.Nat.Bits
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 38 from the axioms · uses propext, Quot.sound
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.binaryRecproof · cited by 24
- Nat.binaryRec_eqproof · cited by 12
- Nat.bitsstatement and proof · cited by 10
Cited by6
Results whose statement or proof uses this declaration.
- Nat.bit1_bitsproof · cited by 1
- Nat.bodd_eq_bits_headproof · cited by 1
- Nat.div2_bits_eq_tailproof · cited by 1
- Nat.bit0_bitsproof · cited by 0
- Nat.digits_two_eq_bitsproof · cited by 0
- Nat.size_eq_bits_lenproof · cited by 0