@techreport{clement:hal-01344090, TITLE = {{The Lax--Milgram theorem. A detailed proof to be formalized in Coq}}, AUTHOR = {Cl{\'e}ment, Fran{\c c}ois and Martin, Vincent}, URL = {https://inria.hal.science/hal-01344090}, TYPE = {Research Report}, NUMBER = {RR-8934}, INSTITUTION = {{Inria Paris}}, YEAR = {2016}, MONTH = Jul, KEYWORDS = {Formal proof in real analysis ; Detailed mathematical proof ; Finite element method ; Lax-Milgram theorem ; Th{\'e}or{\`e}me de Lax-Milgram ; M{\'e}thode des {\'e}l{\'e}ments finis ; Preuve math{\'e}matique d{\'e}taill{\'e}e ; Preuve formelle en analyse r{\'e}elle}, PDF = {https://inria.hal.science/hal-01344090v2/file/RR-8934.pdf}, HAL_ID = {hal-01344090}, HAL_VERSION = {v2}, }