Theorems · Theorem
Pi.zero_apply
∀ {ι : Type u_1} {M : ι → Type u_5} [inst : (i : ι) → Zero (M i)] (i : ι), 0 i = 0- Defined in
- Mathlib.Algebra.Notation.Pi.Defs
- Cited by
- 70 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Zero
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by70
Results whose statement or proof uses this declaration.
- Finsupp.mapDomain_applyproof · cited by 11
- ProbabilityTheory.mgf_pos'proof · cited by 9
- Seminorm.finset_sup_applyproof · cited by 7
- fderivWithin_fun_constproof · cited by 6
- ExpGrowth.expGrowthSup_zeroproof · cited by 6
- MeasureTheory.sub_ae_eq_zeroproof · cited by 6
- ProbabilityTheory.Kernel.singularPart_compl_mutuallySingularSetSliceproof · cited by 4
- groupCohomology.d₀₁_comp_d₁₂proof · cited by 4
- MeromorphicOn.extract_zeros_polesproof · cited by 4
- Pi.single_eq_zero_iffproof · cited by 3
- groupCohomology.d₁₂_comp_d₂₃proof · cited by 3
- MeromorphicOn.extract_zeros_poles_logproof · cited by 3