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Theorems · Theorem · number theory

Int.log_zero_right

∀ {R : Type u_1} [inst : Semifield R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R] [inst_3 : FloorSemiring R]
  (b : ℕ), Int.log b 0 = 0
Defined in
Mathlib.Data.Int.Log
Cited by
1 results in Mathlib
Foundations
Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemifieldLinearOrderIsStrictOrderedRingFloorSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Real.floor_logb_natCast · cited by 2Real.floor_logb_natCastLinearOrder · cited by 8572LinearOrderIsStrictOrderedRing · cited by 2490IsStrictOrderedRingle_rfl · cited by 1558le_rflSemifield · cited by 439SemifieldFloorSemiring · cited by 179FloorSemiringInt.log · cited by 25Int.logInt.log_of_right_le_zero · cited by 3Int.log_of_right_le_zeroInt.log_zero_rightCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.