Theorems · Theorem · logic and foundations
Ordinal.natCast_log
∀ (m n : ℕ), ↑(Nat.log m n) = Ordinal.log ↑m ↑n
- Defined in
- Mathlib.SetTheory.Ordinal.Exponential
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- Ordinalstatement and proof · cited by 1,688
- eq_or_neproof · cited by 1,117
- le_or_gtproof · cited by 269
- Nat.logstatement and proof · cited by 101
- Ordinal.logstatement and proof · cited by 45
- Nat.log_zero_rightproof · cited by 18
- Ordinal.log_of_left_le_oneproof · cited by 13
- Nat.log_of_left_le_oneproof · cited by 12
- Ordinal.opow_natCastproof · cited by 11
- Ordinal.log_zero_rightproof · cited by 8
Cited by0
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