Extension:Math/Native MathML/Operators

Full set of supported operators Related T375974 and T402029

See also case 12 in Extension:Math/Native_MathML/Reported_Cases

Operators

12c A + B - C \pm D \mp E \dotplus F

A + B - C \pm D \mp E ∔ F

A+B-C\pm D\mp E\dotplus F

{\displaystyle A+B-C\pm D\mp E\dotplus F}

12d A \times B \div C \divideontimes D / E \backslash F

A \timesばつ B \div C ⋇ D / E ∖ F

A\times B\div C\divideontimes D/E\backslash F

{\displaystyle A\times B\div C\divideontimes D/E\backslash F}

12e A\cdot B * C \ast D \star E \circ F \bullet G

A \cdot B * C * D ⋆ E \circ F ∙ G

A\cdot B*C\ast D\star E\circ F\bullet G

{\displaystyle A\cdot B*C\ast D\star E\circ F\bullet G}

12f A \boxplus B \boxminus C \boxtimes D \boxdot E

A ⊞ B ⊟ C ⊠ D ⊡ E

A\boxplus B\boxminus C\boxtimes D\boxdot E

{\displaystyle A\boxplus B\boxminus C\boxtimes D\boxdot E}

12g A \oplus B \ominus C \otimes D \oslash E \odot F

A \oplus B ⊖ C \otimes D ⊘ E ⊙ F

A\oplus B\ominus C\otimes D\oslash E\odot F

{\displaystyle A\oplus B\ominus C\otimes D\oslash E\odot F}

12h A \circleddash B \circledcirc C \circledast D

A ⊝ B ⊚ C ⊛ D

A\circleddash B\circledcirc C\circledast D

{\displaystyle A\circleddash B\circledcirc C\circledast D}

12i A \in B \notin A \not\in B \ni B \not\ni C

A \in B \notin A \in̸ B ∋ B ∌ C

A\in B\notin A\not \in B\ni B\not \ni C

{\displaystyle A\in B\notin A\not \in B\ni B\not \ni C}

12j A \cap B \Cap B \sqcap B \bigcap C

A \cap B ⋒ B ⊓ B ⋂ C

A\cap B\Cap B\sqcap B\bigcap C

{\displaystyle A\cap B\Cap B\sqcap B\bigcap C}

12k A \cup B \Cup B \sqcup B \bigcup B \bigsqcup B \uplus B \biguplus C

A \cup B ⋓ B ⊔ B ⋃ B ⨆ B ⊎ B ⨄ C

A\cup B\Cup B\sqcup B\bigcup B\bigsqcup B\uplus B\biguplus C

{\displaystyle A\cup B\Cup B\sqcup B\bigcup B\bigsqcup B\uplus B\biguplus C}

12l A \setminus B \smallsetminus B \times C

A ∖ B ∖ B \timesばつ C

A\setminus B\smallsetminus B\times C

{\displaystyle A\setminus B\smallsetminus B\times C}

12m A \subset B \Subset B \sqsubset C

A \subset B ⋐ B ⊏ C

A\subset B\Subset B\sqsubset C

{\displaystyle A\subset B\Subset B\sqsubset C}

12n A \supset B \Supset B \sqsupset C

A \supset B ⋑ B ⊐ C

A\supset B\Supset B\sqsupset C

{\displaystyle A\supset B\Supset B\sqsupset C}

12o A \subseteq B \nsubseteq B \subsetneq B \varsubsetneq B \sqsubseteq C

A \subseteq B ⊈ B ⊊ B ⊊ B ⊑ C

A\subseteq B\nsubseteq B\subsetneq B\varsubsetneq B\sqsubseteq C

{\displaystyle A\subseteq B\nsubseteq B\subsetneq B\varsubsetneq B\sqsubseteq C}

12p A \supseteq B \nsupseteq B \supsetneq B \varsupsetneq B \sqsupseteq C

A \supseteq B ⊉ B ⊋ B ⊋ B ⊒ C

A\supseteq B\nsupseteq B\supsetneq B\varsupsetneq B\sqsupseteq C

{\displaystyle A\supseteq B\nsupseteq B\supsetneq B\varsupsetneq B\sqsupseteq C}

12q A \subseteqq B \nsubseteqq B \subsetneqq B \varsubsetneqq C

A ⫅ B ⊈ B ⫋ B ⫋ C

A\subseteqq B\nsubseteqq B\subsetneqq B\varsubsetneqq C

{\displaystyle A\subseteqq B\nsubseteqq B\subsetneqq B\varsubsetneqq C}

12r A \supseteqq B \nsupseteqq B \supsetneqq B \varsupsetneqq C

A ⫆ B ⊉ B ⫌ B ⫌ C

A\supseteqq B\nsupseteqq B\supsetneqq B\varsupsetneqq C

{\displaystyle A\supseteqq B\nsupseteqq B\supsetneqq B\varsupsetneqq C}

12s A = B \ne B \neq B \equiv B \not\equiv C

A = B \neq B \neq B \equiv B \equiv̸ C

A=B\neq B\neq B\equiv B\not \equiv C

{\displaystyle A=B\neq B\neq B\equiv B\not \equiv C}

12t A \doteq B \doteqdot B \overset{\underset{\mathrm{def} }{} }{=} B := C

A ≐ B ≑ B \overset{d e f}{=} B := C

A\doteq B\doteqdot B{\overset {\underset {\mathrm {def} }{}}{=}}B:=C

{\displaystyle A\doteq B\doteqdot B{\overset {\underset {\mathrm {def} }{}}{=}}B:=C}

12u A \sim B \nsim B \backsim B \thicksim B \simeq B \backsimeq B \eqsim B \cong B \ncong C

A \sim B ≁ B ∽ B \sim B ≃ B ⋍ B ≂ B ≅ B ≆ C

A\sim B\nsim B\backsim B\thicksim B\simeq B\backsimeq B\eqsim B\cong B\ncong C

{\displaystyle A\sim B\nsim B\backsim B\thicksim B\simeq B\backsimeq B\eqsim B\cong B\ncong C}

12v A \approx B \thickapprox B \approxeq B \asymp B \propto B \varpropto C

A \approx B \approx B ≊ B ≍ B \propto B \propto C

A\approx B\thickapprox B\approxeq B\asymp B\propto B\varpropto C

{\displaystyle A\approx B\thickapprox B\approxeq B\asymp B\propto B\varpropto C}

12w A < B \nless B \ll B \not\ll B \lll B \not\lll B \lessdot C

A < B ≮ B ≪ B ≪̸ B ⋘ B ⋘̸ B ⋖ C

A<B\nless B\ll B\not \ll B\lll B\not \lll B\lessdot C

{\displaystyle A<B\nless B\ll B\not \ll B\lll B\not \lll B\lessdot C}

12x A > B \ngtr B \gg B \not\gg B \ggg B \not\ggg B \gtrdot C

A > B ≯ B ≫ B ≫̸ B ⋙ B ⋙̸ B ⋗ C

A>B\ngtr B\gg B\not \gg B\ggg B\not \ggg B\gtrdot C

{\displaystyle A>B\ngtr B\gg B\not \gg B\ggg B\not \ggg B\gtrdot C}

12y A \le B \leq C \lneq D \leqq E \nleq F \nleqq G \lneqq H \lvertneqq I

A \leq B \leq C ⪇ D ≦ E ≰ F ≰ G ≨ H ≨ I

A\leq B\leq C\lneq D\leqq E\nleq F\nleqq G\lneqq H\lvertneqq I

{\displaystyle A\leq B\leq C\lneq D\leqq E\nleq F\nleqq G\lneqq H\lvertneqq I}

12z A \ge B \geq C \gneq D \geqq E \ngeq F \ngeqq G \gneqq H \gvertneqq I

A \geq B \geq C ⪈ D ≧ E ≱ F ≱ G ≩ H ≩ I

A\geq B\geq C\gneq D\geqq E\ngeq F\ngeqq G\gneqq H\gvertneqq I

{\displaystyle A\geq B\geq C\gneq D\geqq E\ngeq F\ngeqq G\gneqq H\gvertneqq I}

12aa A \lessgtr B \lesseqgtr B \lesseqqgtr B \gtrless B \gtreqless B \gtreqqless C

A ≶ B ⋚ B ⪋ B ≷ B ⋛ B ⪌ C

A\lessgtr B\lesseqgtr B\lesseqqgtr B\gtrless B\gtreqless B\gtreqqless C

{\displaystyle A\lessgtr B\lesseqgtr B\lesseqqgtr B\gtrless B\gtreqless B\gtreqqless C}

12ab A \leqslant B \nleqslant B \eqslantless C

A ⩽ B ⪇ B ⪕ C

A\leqslant B\nleqslant B\eqslantless C

{\displaystyle A\leqslant B\nleqslant B\eqslantless C}

12ac A \geqslant B \ngeqslant B \eqslantgtr C

A ⩾ B ⪈ B ⪖ C

A\geqslant B\ngeqslant B\eqslantgtr C

{\displaystyle A\geqslant B\ngeqslant B\eqslantgtr C}

12ad A \lesssim B \lnsim B \lessapprox B \lnapprox C

A ≲ B ⋦ B ⪅ B ⪉ C

A\lesssim B\lnsim B\lessapprox B\lnapprox C

{\displaystyle A\lesssim B\lnsim B\lessapprox B\lnapprox C}

12ae A \gtrsim B \gnsim B \gtrapprox B \gnapprox C

A ≳ B ⋧ B ⪆ B ⪊ C

A\gtrsim B\gnsim B\gtrapprox B\gnapprox C

{\displaystyle A\gtrsim B\gnsim B\gtrapprox B\gnapprox C}

12af A \prec B \nprec B \preceq B \npreceq B \precneqq C

A ≺ B ⊀ B ⪯ B ⋠ B ⪵ C

A\prec B\nprec B\preceq B\npreceq B\precneqq C

{\displaystyle A\prec B\nprec B\preceq B\npreceq B\precneqq C}

12ag A \succ B \nsucc B \succeq B \nsucceq B \succneqq C

A ≻ B ⊁ B ⪰ B ⋡ B ⪶ C

A\succ B\nsucc B\succeq B\nsucceq B\succneqq C

{\displaystyle A\succ B\nsucc B\succeq B\nsucceq B\succneqq C}

12ah A \preccurlyeq B \curlyeqprec C

A ≼ B ⋞ C

A\preccurlyeq B\curlyeqprec C

{\displaystyle A\preccurlyeq B\curlyeqprec C}

12ai A \succcurlyeq B \curlyeqsucc C

A ≽ B ⋟ C

A\succcurlyeq B\curlyeqsucc C

{\displaystyle A\succcurlyeq B\curlyeqsucc C}

12aj A \precsim B \precnsim B \precapprox B \precnapprox C

A ≾ B ⋨ B ⪷ B ⪹ C

A\precsim B\precnsim B\precapprox B\precnapprox C

{\displaystyle A\precsim B\precnsim B\precapprox B\precnapprox C}

12ak A \succsim B \succnsim B \succapprox B \succnapprox C

A ≿ B ⋩ B ⪸ B ⪺ C

A\succsim B\succnsim B\succapprox B\succnapprox C

{\displaystyle A\succsim B\succnsim B\succapprox B\succnapprox C}

12al A \parallel B \nparallel B \shortparallel B \nshortparallel C

A ∥ B ∦ B ∥ B ∦ C

A\parallel B\nparallel B\shortparallel B\nshortparallel C

{\displaystyle A\parallel B\nparallel B\shortparallel B\nshortparallel C}

12am A \perp B \angle B \sphericalangle B \measuredangle B 45^\circ C

A ⊥ B ∠ B ∢ B ∡ B 4 5^{\circ} C

A\perp B\angle B\sphericalangle B\measuredangle B45^{\circ }C

{\displaystyle A\perp B\angle B\sphericalangle B\measuredangle B45^{\circ }C}

12an A \Box B \square B \blacksquare B \diamond B \Diamond B \lozenge B \blacklozenge B \bigstar C

A ◻ B ◻ B ◼ B ⋄ B ◊ B ◊ B ⧫ B ★ C

A\Box B\square B\blacksquare B\diamond B\Diamond B\lozenge B\blacklozenge B\bigstar C

{\displaystyle A\Box B\square B\blacksquare B\diamond B\Diamond B\lozenge B\blacklozenge B\bigstar C}

12ao A \bigcirc B \triangle B \bigtriangleup B \bigtriangledown C

A ◯ B △しろさんかく B △しろさんかく B ▽ C

A\bigcirc B\triangle B\bigtriangleup B\bigtriangledown C

{\displaystyle A\bigcirc B\triangle B\bigtriangleup B\bigtriangledown C}

12ap A \vartriangle B \triangledown C

A △しろさんかく B ▽ C

A\vartriangle B\triangledown C

{\displaystyle A\vartriangle B\triangledown C}

12aq A \blacktriangle B \blacktriangledown B \blacktriangleleft B \blacktriangleright C

A ▴ B ▾ B ◂ B ▸ C

A\blacktriangle B\blacktriangledown B\blacktriangleleft B\blacktriangleright C

{\displaystyle A\blacktriangle B\blacktriangledown B\blacktriangleleft B\blacktriangleright C}

12ar A \forall B \exists B \nexists C

A \forall B \exists B ∄ C

A\forall B\exists B\nexists C

{\displaystyle A\forall B\exists B\nexists C}

12as A \therefore B \because B \And C

A ∴ B ∵ B & C

A\therefore B\because B\And C

{\displaystyle A\therefore B\because B\And C}

12at A \lor B \vee B \curlyvee B \bigvee C

A \lor B \lor B ⋎ B ⋁ C

A\lor B\vee B\curlyvee B\bigvee C

{\displaystyle A\lor B\vee B\curlyvee B\bigvee C}

12au A \land B \wedge B \curlywedge B \bigwedge C

A \land B \land B ⋏ B ⋀ C

A\land B\wedge B\curlywedge B\bigwedge C

{\displaystyle A\land B\wedge B\curlywedge B\bigwedge C}

12av A \lnot B \neg B \not\operatorname{R} B \bot B \top C

A \neg B \neg B ⧸ R B ⊥ B ⊤ C

A\lnot B\neg B\not \operatorname {R} B\bot B\top C

{\displaystyle A\lnot B\neg B\not \operatorname {R} B\bot B\top C}

12aw A \vdash B \dashv B \vDash B \Vdash B \models C

A ⊢ B ⊣ B ⊨ B ⊩ B ⊨ C

A\vdash B\dashv B\vDash B\Vdash B\models C

{\displaystyle A\vdash B\dashv B\vDash B\Vdash B\models C}

12ax A \Vvdash B \nvdash B \nVdash B \nvDash B \nVDash C

A ⊪ B ⊬ B ⊮ B ⊭ B ⊯ C

A\Vvdash B\nvdash B\nVdash B\nvDash B\nVDash C

{\displaystyle A\Vvdash B\nvdash B\nVdash B\nvDash B\nVDash C}

12ay A \ulcorner B \urcorner B \llcorner B \lrcorner C

A ⌜ B ⌝ B ⌞ B ⌟ C

A\ulcorner B\urcorner B\llcorner B\lrcorner C

{\displaystyle A\ulcorner B\urcorner B\llcorner B\lrcorner C}

12az A \Rrightarrow B \Lleftarrow C

A ⇛ B ⇚ C

A\Rrightarrow B\Lleftarrow C

{\displaystyle A\Rrightarrow B\Lleftarrow C}

12ba A \Rightarrow B \nRightarrow B \Longrightarrow B \implies C

A \Rightarrow B ⇏ B ⟹ B ⟹ C

A\Rightarrow B\nRightarrow B\Longrightarrow B\implies C

{\displaystyle A\Rightarrow B\nRightarrow B\Longrightarrow B\implies C}

12bb A \Leftarrow B \nLeftarrow B \Longleftarrow C

A \Leftarrow B ⇍ B ⟸ C

A\Leftarrow B\nLeftarrow B\Longleftarrow C

{\displaystyle A\Leftarrow B\nLeftarrow B\Longleftarrow C}

12bc A \Leftrightarrow B \nLeftrightarrow B \Longleftrightarrow B \iff C

A \Leftrightarrow B ⇎ B ⟺ B ⟺ C

A\Leftrightarrow B\nLeftrightarrow B\Longleftrightarrow B\iff C

{\displaystyle A\Leftrightarrow B\nLeftrightarrow B\Longleftrightarrow B\iff C}

12bd A \Uparrow B \Downarrow B \Updownarrow C

A ⇑ B ⇓ B ⇕ C

A\Uparrow B\Downarrow B\Updownarrow C

{\displaystyle A\Uparrow B\Downarrow B\Updownarrow C}

12be A \rightarrow B \to B \nrightarrow B \longrightarrow C

A \to B \to B ↛ B ⟶ C

A\rightarrow B\to B\nrightarrow B\longrightarrow C

{\displaystyle A\rightarrow B\to B\nrightarrow B\longrightarrow C}

12bf A \leftarrow B \gets B \nleftarrow B \longleftarrow C

A \leftarrow B \leftarrow B ↚ B ⟵ C

A\leftarrow B\gets B\nleftarrow B\longleftarrow C

{\displaystyle A\leftarrow B\gets B\nleftarrow B\longleftarrow C}

12bg A \leftrightarrow B \nleftrightarrow B \longleftrightarrow C

A \leftrightarrow B ↮ B ⟷ C

A\leftrightarrow B\nleftrightarrow B\longleftrightarrow C

{\displaystyle A\leftrightarrow B\nleftrightarrow B\longleftrightarrow C}

12bh A \uparrow B \downarrow B \updownarrow C

A ↑ B ↓ B ↕ C

A\uparrow B\downarrow B\updownarrow C

{\displaystyle A\uparrow B\downarrow B\updownarrow C}

12bi A \nearrow B \swarrow B \nwarrow B \searrow C

A ↗ B ↙ B ↖ B ↘ C

A\nearrow B\swarrow B\nwarrow B\searrow C

{\displaystyle A\nearrow B\swarrow B\nwarrow B\searrow C}

12bj A \mapsto B \longmapsto C

A \mapsto B ⟼ C

A\mapsto B\longmapsto C

{\displaystyle A\mapsto B\longmapsto C}

12bk

A \rightharpoonup B \rightharpoondown B \leftharpoonup B \leftharpoondown B \upharpoonleft B \upharpoonright C \downharpoonleft C |- C

A ⇀ B ⇁ B ↼ B ↽ B ↿ B ↾ C ⇃ C | - C

A\rightharpoonup B\rightharpoondown B\leftharpoonup B\leftharpoondown B\upharpoonleft B\upharpoonright C\downharpoonleft C|-C

{\displaystyle A\rightharpoonup B\rightharpoondown B\leftharpoonup B\leftharpoondown B\upharpoonleft B\upharpoonright C\downharpoonleft C|-C}

12bl A \downharpoonright B \rightleftharpoons B \leftrightharpoons C

A ⇂ B ⇌ B ⇋ C

A\downharpoonright B\rightleftharpoons B\leftrightharpoons C

{\displaystyle A\downharpoonright B\rightleftharpoons B\leftrightharpoons C}

12bm

A \curvearrowleft B \circlearrowleft B \Lsh B \upuparrows B \rightrightarrows B \rightleftarrows B \rightarrowtail B \looparrowright	 C

A ↶ B ↺ B ↰ B ⇈ B ⇉ B ⇄ B ↣ B ↬ C

A\curvearrowleft B\circlearrowleft B\Lsh B\upuparrows B\rightrightarrows B\rightleftarrows B\rightarrowtail B\looparrowright C

{\displaystyle A\curvearrowleft B\circlearrowleft B\Lsh B\upuparrows B\rightrightarrows B\rightleftarrows B\rightarrowtail B\looparrowright C}

12bn

A \curvearrowright B \circlearrowright B \Rsh B \downdownarrows B \leftleftarrows B \leftrightarrows B \leftarrowtail B \looparrowleft	 C

A ↷ B ↻ B ↱ B ⇊ B ⇇ B ⇆ B ↢ B ↫ C

A\curvearrowright B\circlearrowright B\Rsh B\downdownarrows B\leftleftarrows B\leftrightarrows B\leftarrowtail B\looparrowleft C

{\displaystyle A\curvearrowright B\circlearrowright B\Rsh B\downdownarrows B\leftleftarrows B\leftrightarrows B\leftarrowtail B\looparrowleft C}

12bo

A \hookrightarrow B \hookleftarrow B \multimap B \leftrightsquigarrow B \rightsquigarrow B \twoheadrightarrow B \twoheadleftarrow	 C

A ↪ B ↩ B ⊸ B ↭ B ⇝ B ↠ B ↞ C

A\hookrightarrow B\hookleftarrow B\multimap B\leftrightsquigarrow B\rightsquigarrow B\twoheadrightarrow B\twoheadleftarrow C

{\displaystyle A\hookrightarrow B\hookleftarrow B\multimap B\leftrightsquigarrow B\rightsquigarrow B\twoheadrightarrow B\twoheadleftarrow C}

12bp A \amalg B \P B \S B \% B \dagger B \ddagger B \ldots B \cdots B \vdots B \ddots C

A ⨿ B ¶ B § B % B † B ‡ B ... B \dots B ⋮ B ⋱ C

A\amalg B\P B\S B\%B\dagger B\ddagger B\ldots B\cdots B\vdots B\ddots C

{\displaystyle A\amalg B\P B\S B\%B\dagger B\ddagger B\ldots B\cdots B\vdots B\ddots C}

12bq A \smile B \frown B \wr B \triangleleft B \triangleright C

A ⌣ B ⌢ B ≀ B ◃ B ▹ C

A\smile B\frown B\wr B\triangleleft B\triangleright C

{\displaystyle A\smile B\frown B\wr B\triangleleft B\triangleright C}

12br A \diamondsuit B \heartsuit B \clubsuit B \spadesuit B \Game B \flat B \natural B \sharp C

A ♢ B ♡ B ♣ B ♠ B ⅁ B ♭ B ♮ B ♯ C

A\diamondsuit B\heartsuit B\clubsuit B\spadesuit B\Game B\flat B\natural B\sharp C

{\displaystyle A\diamondsuit B\heartsuit B\clubsuit B\spadesuit B\Game B\flat B\natural B\sharp C}

12bs A \diagup B \diagdown B \centerdot B \ltimes B \rtimes B \leftthreetimes B \rightthreetimes C

A ╱ B ╲ B \cdot B ⋉ B ⋊ B ⋋ B ⋌ C

A\diagup B\diagdown B\centerdot B\ltimes B\rtimes B\leftthreetimes B\rightthreetimes C

{\displaystyle A\diagup B\diagdown B\centerdot B\ltimes B\rtimes B\leftthreetimes B\rightthreetimes C}

12bt A \eqcirc B \circeq B \triangleq B \bumpeq B \Bumpeq B \doteqdot B \risingdotseq B \fallingdotseq C

A ≖ B ≗ B ≜ B ≏ B ≎ B ≑ B ≓ B ≒ C

A\eqcirc B\circeq B\triangleq B\bumpeq B\Bumpeq B\doteqdot B\risingdotseq B\fallingdotseq C

{\displaystyle A\eqcirc B\circeq B\triangleq B\bumpeq B\Bumpeq B\doteqdot B\risingdotseq B\fallingdotseq C}

12bu A \intercal B \barwedge B \veebar B \doublebarwedge B \between B \pitchfork C

A ⊺ B ⊼ B ⊻ B ⩞ B ≬ B ⋔ C

A\intercal B\barwedge B\veebar B\doublebarwedge B\between B\pitchfork C

{\displaystyle A\intercal B\barwedge B\veebar B\doublebarwedge B\between B\pitchfork C}

12bv A \vartriangleleft B \ntriangleleft B \vartriangleright B \ntriangleright C

A ⊲ B ⋪ B ⊳ B ⋫ C

A\vartriangleleft B\ntriangleleft B\vartriangleright B\ntriangleright C

{\displaystyle A\vartriangleleft B\ntriangleleft B\vartriangleright B\ntriangleright C}

12bw A \trianglelefteq B \ntrianglelefteq B \trianglerighteq B \ntrianglerighteq C

A ⊴ B ⋬ B ⊵ B ⋭ C

A\trianglelefteq B\ntrianglelefteq B\trianglerighteq B\ntrianglerighteq C

{\displaystyle A\trianglelefteq B\ntrianglelefteq B\trianglerighteq B\ntrianglerighteq C}

12bx A \mid B \smile C \frown D \in E \ni F \vdash G \dashv H \models J \propto K

A ∣ B ⌣ C ⌢ D \in E ∋ F ⊢ G ⊣ H ⊨ J \propto K

A\mid B\smile C\frown D\in E\ni F\vdash G\dashv H\models J\propto K

{\displaystyle A\mid B\smile C\frown D\in E\ni F\vdash G\dashv H\models J\propto K}

Other binary relations

12by a\not=b

a ≠ b

a\not =b

{\displaystyle a\not =b}

T402082 \not= ignored in MathML

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