Theorems · Theorem · order theory
ENat.lt_natCast_add_one_iff
∀ {m : ℕ∞} {n : ℕ}, m < ↑n + 1 ↔ m ≤ ↑n- Defined in
- Mathlib.Data.ENat.Basic
- Cited by
- 4 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.lt_add_one_iffproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- SimpleGraph.isBridge_iff_not_isEdgeReachable_twoproof · cited by 2
- ENat.le_sub_one_of_ltproof · cited by 2
- ENat.lt_coe_add_one_iffproof · cited by 0