Theorems · Theorem · order theory
WithBot.coe_zero
∀ {α : Type u} [inst : Zero α], ↑0 = 0- Cited by
- 10 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithBotstatement · cited by 1,498
- WithBot.somestatement · cited by 541
Cited by10
Results whose statement or proof uses this declaration.
- Polynomial.degree_Cproof · cited by 20
- Lagrange.sum_basisproof · cited by 3
- Nat.WithBot.one_le_iff_zero_ltproof · cited by 2
- Module.length_eq_zero_iffproof · cited by 2
- Order.krullDim_nonneg_iffproof · cited by 1
- Ideal.height_le_one_of_isPrincipal_of_mem_minimalPrimes_of_isLocalRingproof · cited by 1
- CategoryTheory.projectiveDimension_eq_bot_iffproof · cited by 1
- Nat.WithBot.coe_nonnegproof · cited by 1
- CategoryTheory.injectiveDimension_eq_bot_iffproof · cited by 0
- WithBot.unbotD_zero_mulproof · cited by 0