Theorems · Theorem · number theory
Int.clog_natCast
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
(b n : ℕ), Int.clog b ↑n = ↑(Nat.clog b n)- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Nat.cast_zeroproof · cited by 1,870
- Nat.cast_addproof · cited by 586
- neg_zeroproof · cited by 542
- Semifieldstatement and proof · cited by 439
- Nat.floorproof · cited by 215
- inv_zeroproof · cited by 184
- FloorSemiringstatement and proof · cited by 179
- add_tsub_cancel_rightproof · cited by 172
- Nat.logproof · cited by 101
Cited by2
Results whose statement or proof uses this declaration.
- Int.clog_ofNatproof · cited by 0
- Real.natCeil_logb_natCastproof · cited by 0