Theorems · Theorem · order theory
ENat.toNat_le_of_le_natCast
∀ {m : ℕ∞} {n : ℕ}, m ≤ ↑n → m.toNat ≤ n- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENatstatement and proof · cited by 4,985
- ENat.toNatstatement · cited by 143
- ne_top_of_le_ne_topproof · cited by 68
- ENat.natCast_ne_topproof · cited by 21
Cited by5
Results whose statement or proof uses this declaration.
- Polynomial.natTrailingDegree_le_of_ne_zeroproof · cited by 10
- ENat.toNat_le_toNatproof · cited by 6
- ENat.sSup_eq_top_of_infiniteproof · cited by 1
- MeasureTheory.Measure.sum_restrict_leproof · cited by 0
- ENat.toNat_le_of_le_coeproof · cited by 0