Theorems · Theorem · order theory
ENat.add_one_le_natCast_iff
∀ {m : ℕ∞} {n : ℕ}, m + 1 ≤ ↑n ↔ m < ↑n- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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.natCast_ne_topproof · cited by 21
- ENat.add_one_le_iff'proof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ENat.add_one_le_coe_iffproof · cited by 0