Theorems · Theorem · general topology

RestrictedProduct.mulSingle.congr_simp

∀ {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 : ι)
  (x x_1 : G i), x = x_1 → RestrictedProduct.mulSingle A i x = RestrictedProduct.mulSingle A i x_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