Mathlib Map

Theorems · Theorem · general algebraic systems

Function.mulSupport_const

∀ {ι : Type u_1} {M : Type u_3} [inst : One M] {c : M}, c ≠ 1 → (Function.mulSupport fun x => c) = Set.univ
Defined in
Mathlib.Algebra.Notation.Support
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses propext, Quot.sound
Assumes
One
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Function.mulSupport_natCast · cited by 0Function.mulSupport_natCa…Function.mulSupport_zero · cited by 0Function.mulSupport_zeroFunction.mulSupport_intCast · cited by 0Function.mulSupport_intCa…Set · cited by 53352SetSet.univ · cited by 3945Set.univSet.ext · cited by 2266Set.extFunction.mulSupport · cited by 240Function.mulSupportFunction.mulSupport_constCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.