Set operations & Venn shading

Enter an expression. See every matching member.

Paste 2–4 real sets, choose a common operation or write a grouped expression, and inspect the exact shaded regions and members.

Compare intersections instead Use counts instead of members

Calculating…

01 · input

Define the sets and expression

Active sets

2 sets 3 sets 4 sets

Expression

What should the result contain?

A ∩ B

Set expression

Use A–D with ∪, ∩, \, △, complement ', and parentheses. Aliases such as union, and, minus, xor, and not also work.

Universe for complementsNot supplied

Universe U Required only for complement. Every active set must be contained in U.

Matching rulesExact case · Unicode NFC

Ignore uppercase/lowercaseABC and abc become the same item. Collapse repeated spacesUseful for copied prose; off for identifiers. Compatibility UnicodeNFKC may merge visually equivalent values. Sort displayed members A–ZDoes not change set membership.

Calculating locally Evaluating A ∩ B

Set membership and matching regions are being prepared.

Shading follows the expression exactly. Circle areas remain illustrative.

Normalized expression A ∩ B 1 exact region selected

Real set algebra.Every member is normalized once, receives one exact membership mask, and is evaluated against the expression.

Complements need U.Venn.dev never treats “outside the current union” as an implied Universe.

Local-only.Sets, Universe values, projects, searches, and exports stay in this browser.

Enter an expression. See every matching member.

Define the sets and expression

What should the result contain?

Paste columns or open files

Replace the current operation?

Enter an expression. See every matching member.

Define the sets and expression

What should the result contain?

Expression result