Integrate prosemirror-math plugin.

[HT-Moh]

Hi
how can I add the https://github.com/benrbray/prosemirror-math plugin to rich-markdown-editor
according to the documentation I need a object to extension props

export default class Extension {
    options: Record<string, any>;
    editor: Editor;
    constructor(options?: Record<string, any>);
    bindEditor(editor: Editor): void;
    get type(): string;
    get name(): string;
    get plugins(): Plugin[];
    keys(options: any): {};
    inputRules(options: any): InputRule[];
    commands(options: any): Record<string, Command> | Command;
    get defaultOptions(): {};
}

but I am not sure how can I create this object using prosemirror-math
it there any example of how to use extension prop or better an example?
Thanks

[HT-Moh]

Here is an extension that I am trying to implement.

import { undo, redo } from 'prosemirror-history';
import { undoInputRule } from 'prosemirror-inputrules';
import {
  makeInlineMathInputRule,
  makeBlockMathInputRule,
  REGEX_INLINE_MATH_DOLLARS_ESCAPED,
  REGEX_BLOCK_MATH_DOLLARS,
  mathPlugin,
  mathBackspaceCmd,
  mathSelectPlugin,
} from '@benrbray/prosemirror-math';
import { Keymap, chainCommands } from 'prosemirror-commands';

import { Extension } from 'rich-markdown-editor';
import { DOMOutputSpec } from 'prosemirror-model';

export default class ProsemirrorMath extends Extension {
  // eslint-disable-next-line class-methods-use-this
  get name() {
    return 'prosemirror_math';
  }

  // eslint-disable-next-line class-methods-use-this
  // get schema() {
  //   return {
  //     group: 'inline math',
  //     content: 'text*', // important!
  //     inline: true, // important!
  //     atom: true, // important!
  //     toDOM: () => ['prosemirror_math', { class: 'math-node' }, 0],
  //     parseDOM: [
  //       {
  //         tag: 'prosemirror_math', // important!
  //       },
  //     ],
  //   };
  // }

  // eslint-disable-next-line class-methods-use-this
  get defaultOptions() {
    return {
      node: 'paragraph',
      notAfter: ['paragraph', 'heading'],
    };
  }

  // eslint-disable-next-line class-methods-use-this
  keys() {
    return {
      'Mod-z': undo,
      'Mod-y': redo,
      'Shift-Mod-z': redo,
      Backspace: chainCommands(mathBackspaceCmd, undoInputRule),
    };
  }

  // eslint-disable-next-line class-methods-use-this
  get plugins() {
    return [mathPlugin, mathSelectPlugin];
  }

  // eslint-disable-next-line class-methods-use-this
  get inputRules() {
    return [
      makeInlineMathInputRule(
        REGEX_INLINE_MATH_DOLLARS_ESCAPED,
        (() => {
          const type = this.editor.schema.nodes[this.name];
          if (type === undefined) {
            throw new Error(
              `error retrieving node type for extension ${this.name}`
            );
          }
          return type;
        })()
      ),
    ];
  }
}
`
I assume I need to add a node to the schema but I am not sure how.