Theorems · Theorem · number theory
Int.log_natCast
∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
(b n : ℕ), Int.log b ↑n = ↑(Nat.log b n)- Defined in
- Mathlib.Data.Int.Log
- Cited by
- 3 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.
Cites19
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
- inv_zeroproof · cited by 184
- FloorSemiringstatement and proof · cited by 179
- Nat.ceilproof · cited by 141
- Nat.logstatement and proof · cited by 101
- Nat.clogproof · cited by 43
Cited by3
Results whose statement or proof uses this declaration.
- Real.natLog_le_logbproof · cited by 2
- Int.log_ofNatproof · cited by 0
- Real.natFloor_logb_natCastproof · cited by 0