Conciliarism, a movement in Roman Catholicism emphasising Conciliarity
Following his transfer to the Archdiocese of Madrid, Cañizares taught catechetical theology at the University of Salamanca and fundamental theology at the Conciliar Seminary of Madrid.
Over the last decade or so, a group of Carmelites living in North America (Lake Elmo, Minnesota and Christoval, Texas) adopted the eremitical life and have been experimenting with the new forms of the Carmelite rite according to the conciliar norms.
Sacrosanctum Concilium, a conciliar constitution, after the Second Vatican Council
These anonymous comments on the theological schemata debated at Vatican II, and the articles he published, also influenced the development of several conciliar constitutions such as Dei Verbum and Lumen Gentium.
Cardinal Yves Congar, O.P. served as a consultant to the Second Vatican Council upon the invitation of Pope John XXIII, but was hired as personal and expert theologian (peritus) at the council to Bishop Jean-Julien Weber of Strasbourg which allowed him to attend all the general congregations and to take part in the discussions of any conciliar commission to which he was invited by one of its members.
He later joined the Congregation of St. Basil, more commonly known as the Basilian Fathers, and studied at St. Basil's Seminary in Toronto from 1963 to 1965, whence he entered the Conciliar Seminary in Mexico City.