Theorems · Theorem · general algebraic systems
Function.support_const
∀ {ι : Type u_1} {M : Type u_3} [inst : Zero M] {c : M}, c ≠ 0 → (Function.support fun x => c) = Set.univ- Defined in
- Mathlib.Algebra.Notation.Support
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext, Quot.sound
- Assumes
- Zero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.univstatement · cited by 3,945
- Set.extproof · cited by 2,266
- Function.supportstatement · cited by 610
- Set.mem_univproof · cited by 416
- Function.mem_supportproof · cited by 54
Cited by8
Results whose statement or proof uses this declaration.
- ContDiffBump.support_normed_eqproof · cited by 5
- ExistsContDiffBumpBase.w_supportproof · cited by 4
- MeasureTheory.SimpleFunc.measure_lt_top_of_memLp_indicatorproof · cited by 3
- finsum_oneproof · cited by 1
- Function.support_oneproof · cited by 1
- Function.support_natCastproof · cited by 0
- compactlySupported_eq_top_iffproof · cited by 0
- Function.support_intCastproof · cited by 0