Theorems · Theorem · order theory
ENat.toNat_mul
∀ (a b : ℕ∞), (a * b).toNat = a.toNat * b.toNat
- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- ENatstatement and proof · cited by 4,985
- Nat.cast_oneproof · cited by 2,501
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- MulZeroClass.zero_mulproof · cited by 1,625
- Nat.cast_addproof · cited by 586
- ENat.toNatstatement and proof · cited by 143
- ENat.recTopCoeproof · cited by 75
- ENat.mul_topproof · cited by 9
- ENat.top_mulproof · cited by 9
- ENat.toNat_natCastproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- Ideal.ramificationIdx_tower'proof · cited by 2
- Ideal.sum_ramification_inertia_eq_finrank_fiberproof · cited by 1
- analyticOrderNatAt_powproof · cited by 0
- Set.ncard_prodproof · cited by 0