Theorems · Theorem · order theory
zero_min
∀ {α : Type u_1} [inst : LinearOrder α] [inst_1 : Zero α] [IsBotZeroClass α] (a : α), min 0 a = 0- Defined in
- Mathlib.Algebra.Order.IsBotOne
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
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.
- LinearOrderstatement and proof · cited by 8,572
- zero_leproof · cited by 382
- inf_of_le_leftproof · cited by 186
- IsBotZeroClassstatement and proof · cited by 71
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.isInternal_prime_power_torsion_of_is_torsion_by_idealproof · cited by 1