Theorems · Theorem · number theory
Nat.size_bit
∀ {b : Bool} {n : ℕ}, Nat.bit b n ≠ 0 → (Nat.bit b n).size = n.size.succ- Defined in
- Mathlib.Data.Nat.Size
- Cited by
- 4 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.sizestatement · cited by 18
- Nat.binaryRec_eqproof · cited by 12
- Nat.bit_ne_zero_iffproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Nat.lt_size_selfproof · cited by 3
- Nat.size_leproof · cited by 3
- Nat.size_shiftLeft'proof · cited by 1
- Nat.size_eq_bits_lenproof · cited by 0