Theorems · Theorem · general topology

RestrictedProduct.mulSingle_eq_of_ne

∀ {ι : Type u_1} {S : ι → Type u_3} {G : ι → Type u_4} [inst : (i : ι) → SetLike (S i) (G i)] (A : (i : ι) → S i)
  [inst_1 : DecidableEq ι] [inst_2 : (i : ι) → One (G i)] [inst_3 : ∀ (i : ι), OneMemClass (S i) (G i)] {i j : ι}
  (r : G i), j ≠ i → (RestrictedProduct.mulSingle A i r) j = 1

Defined in

Mathlib.Topology.Algebra.RestrictedProduct.Basic

Cited by

0 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SetLikeDecidableEqOneOneMemClass