Theorems · Theorem · order theory
Nat.iInf_of_empty
∀ {ι : Sort u_1} [IsEmpty ι] (f : ι → ℕ), iInf f = 0- Defined in
- Mathlib.Order.Lattice.Nat
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsEmpty
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.
- iInfstatement · cited by 1,690
- IsEmptystatement and proof · cited by 759
- iInf_of_isEmptyproof · cited by 10
- Nat.sInf_emptyproof · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- ENat.iInf_toNatproof · cited by 2
- Nat.iInf_const_zeroproof · cited by 0
- NNReal.natCast_iInfproof · cited by 0