Theorems · Theorem · number theory
Nat.size_le
∀ {m n : ℕ}, m.size ≤ n ↔ m < 2 ^ n- Defined in
- Mathlib.Data.Nat.Size
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.bitproof · cited by 92
- Nat.sizestatement and proof · cited by 18
- Nat.binaryRec'proof · cited by 11
- Nat.bit_ne_zero_iffproof · cited by 5
- Nat.size_bitproof · cited by 4
- Nat.lt_size_selfproof · cited by 3
- Nat.bit_lt_two_pow_succ_iffproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Nat.lt_sizeproof · cited by 1
- Num.gcd_to_natproof · cited by 1
- Nat.size_le_sizeproof · cited by 0